Our Schools
MATHEMATICS
KINDERGARTEN TO GRADE 5
MATHEMATICS
KINDERGARTEN TO GRADE 5
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS KINDERGARTEN
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The student will… |
Assessments/ Materials/Strategies |
|
K.CC.1 K.CC.2 K.CC.3 K.CC4 K.CC.4a K.CC.4b K.CC.4c K.CC.5 K.CC.6 K.CC.7 K.NBT.1 |
4.1 A-1 4.4 A-1, 2,3,4 4.4 D-1, 3 4.5 B-1, 2 4.5 C-1, 3 4.5 E-1 |
Numeration and Order (Counting): - order numbers on a calendar - match one-to-one - demonstrate an understanding of zero - count forwards and backwards (0-10) - count by 2s (to 10), 5s (to 25) and 10s (to 100) - rote count to 100
|
“Exploring Mathematics”Level K Scott Foresman and Co.
“Math Steps”Level K Houghton Mifflin
“Mathematics Unlimited”Level K Harcourt Brace Jovanovich
|
|
K.CC.1 K.CC.2 K.CC.3 K.CC4 K.CC.4a K.CC.4b K.CC.4c K.CC.5 K.CC.6 K.CC.7 K.NBT.1 |
4.1 A-1, 2,3,5 4.1 C-1, 2,3 4.2 A-3 4.3 C-1 4.4 D-1, 3 4.5 A-4, 5 4.5 B-1, 2 4.5 C-1 4.5 E-1 |
Numeration and Order (Numeration): - identify, count and write numerals to 31 - identify number of school days in a week - read numbers backwards from 10-0 - sequence numeral 0-15 - identify telephone number - demonstrate an understanding of place value (ones and tens) - demonstrate the concept of greater than/less than - use a calculator - explore and use tallies for counting - identify ordinal numbers - demonstrate the concept of half - find, read and sequence numbers 0-100 - read and use two digit numbers |
“Exploring Mathematics”Level K Scott Foresman and Co.
“Math Steps”Level K Houghton Mifflin
“Mathematics Unlimited”Level K Harcourt Brace Jovanovich
|
|
K.MD.1 K.MD.2 |
4.1 B-7 4.2 D-1, 2, 3 |
Measurement and Reference Frames-Measures: - compare various lengths - measure various heights - experiment with volume - compare various weights - measure with non-standard tools |
“Exploring Mathematics”Level K Scott Foresman and Co.
“Math Steps” Level K Houghton Mifflin
“Mathematics Unlimited Level K Harcourt Brace Jovanovich -Chapter 7 pg. 133-146 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ASSESSMENTS KINDERGARTEN (CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
K.NBT.1 |
4.1 A-1, 2,3,4 4.5 C-3, 4 |
Measurement and Reference Frames-Money: - identify the physical characteristics and value of penny, nickel, dime - count combinations of coins |
“Exploring Mathematics” Level K Scott Foresman and Co.
“Math Steps” Level K Houghton Mifflin
“Mathematics Unlimited” Level K Harcourt Brace Jovanovich - Chapter 5 pg. 99-110
|
|
|
4.1 A-3 4.2 D-3 4.3 A-1 4.3 B-1 4.5 C-1, 3,4 |
Measurement and Reference Frames-Time: - identify days of the week - relate concept of time to daily routines - tell time to the hour on analog and digital clocks |
“Exploring Mathematics” Level K Scott Foresman and Co.
“Math Steps” Level K Houghton Mifflin
“Mathematics Unlimited” Level K Harcourt Brace Jovanovich - Chapter 5 pg. 90-98 |
|
K.MD.3 |
4.2 A-1, 2,4 4.2 B-1, 2 4.3 A-1 4.4 C-1 4.5 A-1, 2 4.5 C-1 4.5 D-2 |
Patterns, Functions and Sequences: - sort according to attributes - find and generate patterns - identify function rules |
“Exploring Mathematics” Level K Scott Foresman and Co.
“Math Steps” Level K Houghton Mifflin
“Mathematics Unlimited” Level K Harcourt Brace Jovanovich - Chapter 1 pg. 11-13 |
|
K.G.1 K.G.2 K.G.3 K.G.4 K.G.5 K.G.6 |
4.2 A-1, 2,4 4.2 B-2 4.4 C-1 4.5 B-4 |
Geometry and Spatial Sense: - identify, describe and compare shapes: circle, square, triangle and rectangle - develop right/left orientation - explore two- and three- dimensional shapes - identify and demonstrate spatial concepts (inside/ outside, above/below, before/ after, etc.) |
“Exploring Mathematics” Level K Scott Foresman and Co.
“Math Steps” Level K Houghton Mifflin
“Mathematics Unlimited” Level K Harcourt Brace Jovanovich
|
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ASSESSMENTS KINDERGARTEN (CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.4 A-1-4 4.4 C-2 4.4 D-1 |
Exploring Data and Chance: - measure, collect and record data using a grid or graph - generate an organized list |
“Exploring Mathematics” Level K Scott Foresman and Co.
“Math Steps” Level K Houghton Mifflin
“Mathematics Unlimited” Level K Harcourt Brace Jovanovich - Chapter 10 pg. 191 |
|
|
4.1 A-1-3, 5
4.1 B-1, 3,4,6,7
4.3 D-1 4.5 B-4 4.5 F-4 |
Operations: - explore “counting on” on the number line - tell number stories (addition and subtraction) - use symbolic language to add and subtract as “number families” - use symbolic language to tell and write number stories |
“Exploring Mathematics” Level K Scott Foresman and Co.
“Math Steps” Level K Houghton Mifflin
“Mathematics Unlimited” Level K Harcourt Brace Jovanovich
|
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 1
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
1.NBT.1 |
4.1 A-1,2,3,5 4.3 A-4 4.5.C-3 |
Numeration and Order (Counting): - match one-to-one - count on by 1, 2, 5 and 10 to 120 - count back by 1s - count by 1s using objects to 50 and 100 - recognize and count tally marks by 1s - skip count by 1, 2, 5 and 10 using a calculator - recognize uses of numbers in everyday situations - identify numbers that come before, after and between given numbers to 99 |
“Exploring Mathematics” Level 1 Scott Foresman and Co.
“Math Steps” Level 1 Houghton Mifflin
|
|
1.NBT.3 |
4.1 A 4.1 B-4 4.2 A 4.3 A 4.5 C-3 |
Numeration and Order (Numeration): - read, write and order numbers 0-120 - show one more and one less for numbers 0-99 - recognize and identify ordinal numbers and their suffixes - recognize uses of numbers in everyday situations - identify zero as a number - use >, < or = to compare numbers which are more or less - enter 2 and 3 digit numbers into a calculator and use the clear key |
“Exploring Mathematics” Level 1 Scott Foresman and Co.
“Math Steps” Level 1 Houghton Mifflin
|
|
1.NBT.2
1.G.3 |
4.1 A-2
|
Numeration (Value): - identify place value of ones and tens - identify, write and compare fractions as equal parts of a whole for 1/2, 1/3, 1/4 |
“Exploring Mathematics” Level 1 Scott Foresman and Co.
“Math Steps” Level 1 Houghton Mifflin
|
|
1.MD.2 1.MD.1 1.MD.4 |
4.2 A-1 4.2 D-1-4 |
Measurement: - recognize the need for standard units of measure - read temperature on a thermometer using Celsius and Fahrenheit scales - recognize the term inch and that 12 inches equal one foot - measure objects up to and including 12 inches using a ruler - measure objects using non-standard units - measure objects using centimeters - compare units of measurement for length, weight, temperature and liquid - organize, represent, and interpret data up to three categories (graphing) |
“Exploring Mathematics” Level 1 Scott Foresman and Co.
“Math Steps” Level 1 Houghton Mifflin - Unit 10 pg. 261-278
“Daily Warm-Ups – Math”, Grade 1 – Teacher Created Resources – TCR – 3989 – Graphs, Data and Probability – pgs. 110-139 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 1(CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.1 A-4 |
Money: - recognize symbols for $ and ¢ - recognize, name and give value for dollar, quarter, dime, nickel, penny - write notation for value up to $1.00 - exchange coins of equal value up to $1.00 - make change by comparing money spent to money left - compare prices of greater or lesser value |
“Exploring Mathematics” Level 1 Scott Foresman and Co. - Chapter 9 pg. 263-290 “Math Steps” Level 1 Houghton Mifflin - Unit 8 pg. 213-225 |
|
1.ND.3 |
4.2 D 1-4 |
Time: - date daily work - discuss uses of a calendar - name and write months of the year and days of the week in order - name and write abbreviations of months of the year and days of the week - recognize terms today, tomorrow, yesterday and identify appropriately - estimate time to the hour - use AM and PM appropriately and use proper notation to record time - tell time to the hour and half hour using digital and analog clock - recognize relationship between hour and minutes - draw clock hands and label times to the hour and half hour - identify hands for seconds on an analog clock |
“Exploring Mathematics” Level 1 Scott Foresman and Co.
“Math Steps” Level 1 Houghton Mifflin - Unit 8 pg. 201-225 |
|
|
4.3 A 4.4 C-1 |
Patterns and Sequences: - recognize, continue and create patterns using colors, shapes, objects and numbers - sort objects by attributes - recognize patterns in daily life - recognize and continue odd and even number patterns |
“Exploring Mathematics” Level 1 Scott Foresman and Co.
“Math Steps” Level 1 Houghton Mifflin - Unit 1 pg. 3-25 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 1(CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
1.G.1
1.G.2 |
4.2 A-1; 2,3 |
Geometry: - name flat shapes: square, rectangle, circle and triangle - name geometric shapes: rectangular prism, cube, pyramid, cylinder, cone, sphere - identify and describe spatial relationships among objects including smaller/larger, same size, longer/shorter, wider/narrower - create shapes and designs using pattern blocks and geo-board - count sides, faces and corners on geometric shapes - recognize symmetry in shapes - use a ruler as a straightedge |
“Exploring Mathematics” Level 1 Scott Foresman and Co. - Chapter 6 pg.163-198 “Math Steps” Level 1 Houghton Mifflin - Unit 1 pg. 3-25 |
|
1.OA.4
1.OA.8
1.OA.5
1.OA.1
1.OA.2 1.OA.3 1.OA.6 1.NBT.4 1.NBT.6
1.NBT.5
1.OA.7 |
4.1 B-1, 3-5 4.1 B-8 4.1 C |
Operations: - identify a sum as a total of two parts - identify differences as part of a total - write and solve addition and subtraction sentences in both vertical and horizontal forms - identify and find the missing part in a number sentence relating 3 whole numbers - compare differences and sums - add and subtract by counting on and counting back - use a calculator to find sums and differences of one digit numbers - add and subtract numbers up to 9 to and from 2-digit numbers - add and subtract multiples of 10 to any number 0-90 - use strategies of doubles, related facts, plus 0, and plus 1 to add and subtract - estimate and solve number stories - recognize relationships between addition and subtraction - recognize and write fact families - add and subtract numbers up to 9 to and from 2-digit numbers - add 3 one digit numbers - add and subtract 2-digit numbers without regrouping - add and subtract money - solve problems by choosing the operation - add and subtract numbers to 18 using mental math - understand the meaning of the equal sign, determine if equations involving addition and subtraction are true or false |
“Exploring Mathematics” Level 1 Scott Foresman and Co.
“Math Steps” Level 1 Houghton Mifflin
“Daily Math Warm Ups Math” – Grade 1 – Teacher Created Resources – TCR 3959 – Operations – pgs. 41-72 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 2
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments: District Chapter Test |
|
2.MD.9 2.MD.10 |
4.4 A-1-3 |
Exploring Data: - record and count tally marks in groups of 1s and 5s - record data with tally marks - sort and graph data using pictographs and bar graphs - compare and contrast information on a graph - write and answer questions using information on a graph - make a line plot by measuring lengths of several objects - record measurement data where the horizontal scale is marked off in whole number units |
“Exploring Mathematics” Level 1 Scott Foresman and Co.
“Math Steps” Level 1 Houghton Mifflin - Unit 2 pg. 55-64 |
|
2.0A.3
2.G.3 |
4.1 A-3 4.1 A-1-3; 4.5 C-4 4.5 E-1 4.3 A-1 4.5 F-4 4.1 A-1 4.1 A-5 4.1 A-5, 4.5 E-1 4.1 A-2 4.1 A-5 4.1 A-1, 4.5 E-1, 3 4.1 A-2 4.1 A-2 4.1 A-2 4.1 A-1 4.1 A-1, 4.5 B-4 4.1 A-1 4.4 C-2, 4.5 A-2, 4 |
Numeration and Order: - understand that numbers have a variety of uses - use real life experiences, physical materials and technology to construct meanings for numbers - recognize that all numbers can be formed using digits 0-9 - review number sequences on the number line - skip count by 2, 5 and 10 - use calculator to skip count - identify numbers as odd or even - review ordinal numbers - order numbers from least to greatest up to 3 digits - arrange dates in sequential order - write numbers in expanded form - read, write and compare numbers up to 999 using <, >, or = - model and write 2-, 3- and 4-digit numbers with base-10 blocks - use zero as a place holder - identify hundreds, tens and ones in 3-digit numbers - relate money to place value notation - identify fractions as equal parts of a whole or parts of a group - define numerator and denominator - write fraction notations: “2 of the 3 equal parts = 2/3” - generate all possibilities in simple counting situations (i.e.; all outfits involving two shirts and three pants) |
“Exploring Mathematics” Level 2 Scott Foresman and Co.
“Math Steps” Level 2 Houghton Mifflin
|
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 2(CONTINUTED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments: District Chapter Test |
|
2.MD.1 2.MD.2 2.MD.3 2.MD.4 2.MD.5 2.MD.6 |
4.2 D-2 4.2 D-3 4.2 D-3 4.2 D-3, 4 4.1 C-2 4.2 D-1 4.2 D-1 4.2 E-1 4.2 D-3 4.3 C-1 |
Measurement and Reference Frames-Measures: - recognize the need for a uniform unit of measure - categorize measures of length, weight and capacity - use tool(s) appropriate for type and size of measurement - estimate and measure length, weight and capacity in customary or metric units - directly compare and order objects according to length, weight and capacity - find differences in length - find differences in weight - identify equivalent measures of capacity - measure the perimeter of simple 2- dimensional shapes - explore and estimate area - contrast area with perimeter - read and write temperature (Celsius and Fahrenheit) - recognize and describe changes over time (i.e., height and weight) |
“Exploring Mathematics” Level 2 Scott Foresman and Co.
“Math Steps” Level 2 Houghton Mifflin - Unit 5 pg. 113-134 “Daily Math Warm-Ups” - Grade 2 – Teacher Created Resources – Measurement and Geometry – pgs. 73-104
|
|
2.MD.8 |
4.1 A-4 4.1 A-4 4.1 C-1 4.1 A-4 4.1 A-4 4.1 B-4 4.1 C-3 4.1 C-3 4.5 A-1-4 4.5 B-1 4.5 C-6 |
Measurement and References Frames-Money: - recognize coins and their values - relate value of one coin to that of another - estimate money values - show the same amount of money with different sets of coins - count sets of $1 bills and coins using dollar and cents notations - find the cost of two or more items using mental math - estimate and solve total cost problems - estimate and make change - solve 2-step money problems |
“Exploring Mathematics” Level 2 Scott Foresman and Co.
“Math Steps” Level 2 Houghton Mifflin - Unit 8 pg. 199-224 |
|
2.MD.7 |
4.2 D-3 4.5 C-3 4.2 D-3 4.5 B-4 4.1 C-1 4.2 D-4 4.5 D1 4.5 C-4 4.2 D-3 4.2 D-3 4.5 C-4 |
Measurement and Reference Frames-Time: - tell time from analog clock face and digital time - use alternate ways of naming the time - estimate, tell and write time in various increments - find elapsed time in various increments - read and write dates - record important events on a calendar - use AM and PM |
“Exploring Mathematics” Level 2 Scott Foresman and Co.
“Math Steps” Level 2 Houghton Mifflin
|
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 2(CONTINUTED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.3 A-1 4.2 A-4 4.3 A-1 4.2 B-1 4.3 B-1 4.5 E-1, 3 |
Patterns, Functions and Sequences: - grid and identify number patterns - recognize, describe, extend and create patterns with geometric objects of different shapes and colors - use simple shapes to make designs, patterns and pictures - explore the basic concepts of a function with concrete and pictorial models |
“Exploring Mathematics” Level 2 Scott Foresman and Co. - Chapter 3 pg. 73-101
|
|
|
4.4 A-1 4.4 A-2, 3 4.5 E1, 3 4.4 A-1 4.4 A-4 4.4 A-2 4.4 B-1 4.4 B-1 4.5 B-4 4.4 B-2 |
Exploring Data and Chance: - collect, generate, record and organize data in response to questions, claims or curiosity - read, interpret, construct and analyze data from pictures, tally charts, pictographs, bar graphs and Venn diagrams - use graphs as a source for making rough comparisons quickly and easily - put results in order from smallest to largest and most frequent (mode) - make predictions based on collected data - use chance devices, like spinners and dice, to explore concepts of probability - use the terms: certain, impossible, more likely, less likely, equally likely - provide probability of specific outcomes |
“Exploring Mathematics” Level 2 Scott Foresman and Co.
“Math Steps” Level 2 Houghton Mifflin - Unit 9 pg. 231-246 |
|
|
4.1 B-1 4.1 B-3 4.1 B-8 4.1 B-5 4.1 B-5 4.1 B-4, 6 4.5 D-1 4.5 E-2 4.3 C-2 4.3 D-1 4.1 B-2 4.1 C-2, 3 4.5 B-1 4.5 D-1 4.5 A-2, 3 4.5 B-1 4.5 C-2 4.5 E-1 |
Operations: - develop the meanings of addition and subtraction by modeling and discussing a variety of problems - develop proficiency with basic addition and subtraction number facts using a variety of strategies and then memorize them - relate addition and subtraction facts - add with and without regrouping up to 3-digits - subtract with and without regrouping up to 3-digits - choose the appropriate method to solve problems and explain - construct and solve simple open sentences (3+_ = 8; __ = 6-2) - explore multiplication and division - solve problems, including estimation (also use the term rounding) - solve problems by solving a simpler problem - solve problems by making a table |
“Exploring Mathematics” Level 2 Scott Foresman and Co.
“Math Steps” Level 2 Houghton Mifflin
|
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 2(CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
2.G,1
|
4.4 C-1 4.2 B-2 4.2 A-3 4.2 A-1 4.2 A-2 4.2 A-2 4.2 A-2 4.2 A-2; 4.4 D-4 4.4 A-3 4.5 A-1, 2,4; 4.5 B-1 |
Geometry: - sort and classify objects according to attributes - identify and explore constructing polygons - identify a shape as part of another shape - describe, find and create lines of symmetry - identify congruent shapes - identify, classify and describe 2-dimensional and 3-dimensional shapes - recognize similarities and differences among 2-dimensional and 3-dimensional shapes - identify relationships between 2-dimensional and 3-dimensional shapes - define and identify vertex, edge, face, and side - solve problems by drawing a diagram |
“Exploring Mathematics” Level 2 Scott Foresman and Co.
“Math Steps” Level 2 Houghton Mifflin - Unit 4 pg. 91-102 |
|
2.G.2 |
|
- partition a rectangle into rows and colums of same size squares and count to find the total number of them |
“Daily Math Warm Ups” Grade 2 – Teacher created resources – Measurement and Geometry – Pgs. 73-104 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 3
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.1 A-1-5 4.1 B-2 |
Numeration and Order (Counting): - explore the use of numbers in the world - demonstrate ability to skip-count by 2, 5, 10 and 100 - identify numbers as even or odd |
“Mastering Math” Level 3 Steck-Vaughn C
“Mathematics” Level 3 Houghton-Mifflin 3 - Unit 2 pg. 45 |
|
|
4.1 A-1, 2 |
Numeration and Order (Numeration): - read and write whole numbers to hundred thousands |
“Mastering Math” Level 3 Steck-Vaughn C
Level 3 Houghton-Mifflin 3
“Math Review” Level 3 Skill Builders - Pg.1-6 |
|
|
4.1 A-1, 4,6 4.3 D-2 |
Numeration (Value): - compare, order, and round whole numbers - read and write fractions and mixed numbers - read and write decimals |
“Mastering Math” Level 3 Steck-Vaughn
“Mathematics” Level 3 Houghton-Mifflin 3
“Math Review” Level 3 Skill Builders 3
|
|
|
4.2 D-1, 2,3 4.2 E-1, 2,3 |
Measurement: - estimate and measure length in customary or metric units - find the perimeter, area and volume of geometric figures - solve problems, including those that involve measurement and using logic - estimate and measure weight, mass or capacity in customary or metric units |
“Mathematics” Level 3 Houghton-Mifflin 3
“Geometry for Primary Grades 3” Level 3 Steck-Vaughn - Unit 5 pg. 51-68 |
|
|
4.1 A-4, 6 4.1 B-4, 5 4.1 C-2, 3,4 |
Money: - count, write, order and round money amounts - make change up to $10 - add up to 4-digit numbers, including money amounts - subtract up to 4-digit numbers, including money amounts - estimate sums, including money amounts - estimate differences |
“Math Review” Level 3 Skill Builders 3
“Time and Money” Level 3 Skill Builders - Pg. 3-43 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 3(CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.2 D-1, 2,3 |
Time: - tell time to the minute using digital and analog clocks - estimate, tell and write time - calculate elapsed time - recognize patterns on a calendar |
“Mastering Math” Level 3 Steck-Vaughn C
|
|
|
4.2 A-5 4.3 A-1 4.3 B-2 4.3 C-1, 2 4.3 D-1 |
Patterns and Sequences: - recognize, describe, extend and create patterns with geometric objects - recognize, describe, extend and create patterns with numbers - recognize, describe, extend and create patterns using words to describe the pattern - recognize and describe change in quantities, using graphs and charts - recognize patterns from input/output tables and T-charts - demonstrate understanding of commutative, associative and zero properties of addition - demonstrate understanding of commutative, identity and zero properties of multiplication - use inverse operations to identify and solve those problems that involve division and working backward |
“Mastering Math” Level 3 Steck-Vaughn C
“Mathematics” Level 3 Houghton-Mifflin 3 - Unit 5 pg. 117 |
|
|
4.2 A-1, 2,3,4,5 4.2 B-1 4.2 C-1 4.2 D-1 4.5 C-1 |
Geometry: - identify congruent and symmetrical figures - identify 2-dimensional and 3-dimensional figures and their parts - identify lines, angles and line segments - identify how a figure is transformed or moved - use ordered pairs to locate or name points on a coordinate grid - solve problems, including those that involve geometry and patterns |
“Mathematics” Level 3 Houghton-Mifflin 3
“Geometry for Primary Grades 3” Level 3 Steck-Vaughn - Unit 1-4 pg. 9-49 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 3 (CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.1 A-4
4.1 B-1, 2,3,6,7
4.3 A-1
4.3 C-2
4.5 A-1, 2,3
|
Operations: - add and subtract facts to 18 - use inverse operations to identify fact families and to find missing addends - solve word problems, including those that involve addition, subtraction and choosing the operation - solve problems, including those that involve multiplication and using alternate methods - multiply facts to 9 - divide facts to 9 - divide by 1-digit divisors - multiply by 1-digit factors, including money amounts - multiply three or more factors - solve problems, including those that involve multiplication and making organized list - add and subtract decimals – estimate products of whole numbers - solve problems, including those that involve subtraction and multi-step problems - subtract up to 4-digit numbers find equivalent fractions and compare fractions - solve problems, including those that involve addition and drawing a picture - solve problems, including those that involve multiplication, division and solving a simpler problem |
“Mastering Math” Level 3 Steck-Vaughn
“Mastering Math” Level 3 Steck-Vaughn C
“Mathematics” Level 3 Houghton-Mifflin 3
“Math Review” Level 3 Skill Builders 3
“Instructional Fair Level 3” Level 3 Math Practice
“Multiplication Drill/Schaffer 3”
“Multiplication & Division" Instructional Fair 3”
“Steck-Vaughn Geometry for Primary Grades 3” - Unit 6 pg. 70-86 Fractions / Decimals
|
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 3 (CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.1 C-3, 4, 7 4.3 D-1 4.4 A-1, 2 4.4 B-1, 2 4.5. A-1 |
Exploring Data: - decide when an estimate is appropriate - use estimation to determine if the result of a computation is reasonable - read, interpret, organize and display data - solve problems, including those that involve time, data, graphs and guessing, testing and revising - solve problems, including those that involve fractions, decimals, probability and conducting an experiment - find the probability of an event and make predictions - solve problems, including those that involve place value and making a table - represent and classify data according to attributes such as shape and color
|
“Mastering Math”
Level 3 Steck-Vaughn
|
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 4
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.1 A-1-6 4.1 C-1 4.5 B-1-4 4.5 C-1-6 D.5 D-1-6 4.5 E-1, 3 4.5 F-1-4 |
Place Value of Whole Numbers: - read, write and understand the value of numbers through millions - represent numbers in standard, expanded and word form - use decimals through hundredths - demonstrate an understanding of place value concepts - identify types and uses of numbers (count, measure, name and show order) - compare and order numbers - round numbers to the nearest ten, hundred and thousand |
“Mastering Math” Level 4 Steck-Vaughn D
“Mathematics” Level 4 Houghton-Mifflin
“Instructional Fair” Level 4 Math Skills 4
“Fourth Grade Math Review” Level 4 F. Schaffer - Pg. 1-8 |
|
|
4.1 B-1, 3-8,10 4.1 C-1-4 4.3 C-2 4.4 D-1, 2 |
Money, Addition and Subtraction: - add and subtract whole numbers, including money, up to six-digit numbers - understand the inverse relationship between addition and subtraction - count, compare and order money - round money amounts to the nearest ten cents, dollar and ten dollars - estimate sums and differences, including money
|
“Mastering Math” Level 4 Steck- Vaughn D
“Teacher’s Friend Publishing’’ Level 4 Fourth Grade Basic Skills
“Instructional Fair” Level 4 Math Skills 4
“Fourth Grade Math Review” Level 4 F. Schaffer - Pg. 9-26 |
|
|
4.1 A-5 4.2 D-2, 4,5 4.3 C-1 4.4 A-12 4.4 D-4 4.5 E-1-4 4.5 F-1-4 |
Data Statistics and Graphs: - tell time and choose a reasonable time estimate - read and use a calendar - find and use elapsed time to solve problems - find the range, median and mode of a set of data - collect, generate, organize and display data - read and make bar, line and pictographs |
“Mastering Math” Level 4 Steck-Vaughn D
“Mathematics” Level 4 Houghton-Mifflin
“Instructional Fair” Level 4 Math Skills 4 - Pg. 41-44 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 4 (CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.1 A-5 4.1 B-1-4, 10 4.1 C-2, 3 4.3 A-1 4.3 B-1 4.3 C-2 4.3 D-1 4.5 A-3, 4 4.5 B-4 4.5 C-1-6 4.5 D-2, 4,5 4.5 E-1-3
|
Multiplication and Division: - multiply factors 0 through 9 - use the Commutative, Associative and Identity properties of multiplication and division - understand and use the inverse relationship between multiplication and division - use related multiplication facts to find division facts for 0 through 9 as divisors - generate fact families - solve basic division problems with remainders - solve division problems with three-digit dividends (and greater) by one-digit divisors - solve problems by finding and use patterns - use patterns to multiply/divide by multiples of ten - estimate products by rounding - multiply numbers (up to four digits) by one-digit numbers, including money - solve multi-step problems (tree diagram)
|
“Mastering Math” Level 4 Steck-Vaughn D
“Mathematics” Level 4 Houghton-Mifflin
“Instructional Fair” Level 4 Math Skills 4
“Fourth Grade Math Review” Level 4 Schaffer
“Fourth Grade Basics” Level4Teacher’s Friend Publishing
“Mastering Math” Level 4 Steck-Vaughn D
“Multiplication and Division” Level 4 Instructional Fair Grade 4 Book |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 4(CONTINUED)
|
|
4.1 A-1, 5,6,9 4.3 D-2 4.5 C-1, 6
|
Fractions: - identify, read and write fractions for parts of a whole and a set - read and write fractions, equivalent fractions and mixed numbers - add and subtract fractions, including mixed fractions, with like and unlike denominators - compare and order fractions
|
“Focus On Math” Fractions Level 4 Steck-Vaughn D
“Fractions Grade 4” Level 4 Instructional Fair
“Fourth Grade Math Review” Level 4 Schaffer
“Math Skills” Level 4 Instructional Fair
“Fourth Grade Basic Skills” Level 4 Teacher’s Friend Publishing - Pg. 24-40 |
|
|
4.4 B-1-3 4.5 B-3, 4
|
Probability: - make predictions using probability - determine and explore concepts of probability
|
“Real World Math” Level 4 Good Apple Publishing
|
|
|
4.1 A-7 4.2 A-1-5 4.2 B-1-3 4.2 D-1-4 4.2 E-1-3 |
Measurement: - explore, estimate, measure, compare and order length in customary and metric units - calculate perimeter, area and volume - estimate, compare and order weight, mass and capacity in customary and metric units |
“Mathematics” Level 4 Houghton-Mifflin
“Math Skills 4” Level 4 Instructional Fair - Pg. 31-40 |
|
|
4.2 C-1 4.2 D-1 4.5 B-4 4.5 C-1-6 4.5 D-1-6 4.5 E-1-3 4.5 F-1-6
|
Geometry: - identify and analyze two- and three- dimensional figures by their attributes - recognize, describe, extend and create space-filling patterns - identify and classify plane figures by their properties - identify congruent and similar figures, lines of symmetry and transformations - locate and name coordinate points on a grid - solve problems making an organized list - solve problems by using a diagram - explore vertex-edge neighboring/adjacent number of neighbors), graphs and tree diagrams |
“Mathematics” Level 4 Houghton-Mifflin
“Real World Math” Level 4 Good Apple Publishing - Pg. 23,48 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 4 (CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.1 A-1, 2,5,6 4.1 B-1 4.1 C-2-4 4.5 A-2, 3 |
Decimals: - read and write decimals to the hundredths - compare and order decimals - estimate decimals sums and differences - add and subtract decimals - solve problems involving decimals |
“Focus On Math” Level 4 Steck-Vaughn D (Fractions)
“Mathematics” Level 4 Houghton-Mifflin
“Fourth Grade Math Review” Level 4 Schaffer
“Math Skills 4” Level 4 Instructional Fair - Pg.28-30 |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 5
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.1 A-2, 3,6 4.1 C-1, 2,3 4.5 A-1, 2,3,4,5 4.5 B-1, 2,3,4 4.5 C-1, 2,3,4,5,6 4.5 D-1, 2,3,4,5,6 4.5 E-1, 2,3 4.5 F-1, 2,3,4,5,6 |
Place Value of Whole Numbers and Decimals: - read and write whole numbers and decimals - compare and order whole numbers and decimals - round whole numbers and decimals - solve problems including decimals those involving place value - make a table with whole numbers and decimals |
“Mastering Math” Level 5 Steck-Vaughn E
“Mathematics” Level 5 Houghton-Mifflin
“Mathematics Today” Level 5 HBJ 5 - Unit 1 pg. 16 |
|
|
4.1 A-1, 2 4.1 B-2, 4,5,6 4.1 C-1, 2,3,4 4.3 C-1 4.3 D-1 4.5 A-1, 2,3,4,5 4.5 B-1,2,3,4 4.5 C-1, 2,3,4,5,6 4.5 D-1, 2,3,4,5,6 4.5 E-1, 2,3 4.5 F-1, 2,3,4,5,6 |
Add and Subtract Whole Numbers and Decimals: - estimate sums and differences of whole numbers and decimals - add and subtract whole numbers and decimals - evaluate addition and subtract expressions - solve problems including those with addition and subtraction, and write a number sentence - read, write and manipulate Roman numerals
|
“Mastering Math” Level 5 Steck-Vaughn E
“Mathematics” Level 5 Houghton-Mifflin
“Mathematics Today” Level 5 HBJ 5
“Fifth Grade Basic Skills” Level 5 Teacher’s Friend Publishing - Pg.3-6 |
|
|
4.3 C-2 4.4 A-1, 2,3 4.4 C1 4.5 A-1, 2,3,4,5 4.5 B-1, 2,3,4 4.5 C-1, 2,3,4,5,6 4.5 D-1, 2,3,4,5,6 4.5 E-1, 2,3 4.5 F-1, 2,3,4,5,6 |
Data Statistics and Graphs: - read and interpret data - organize and display data - find the range, median and mode for a set of data - solve problems including those that involve statistics and drawing a picture or diagram
|
“Mathematics” Level 5 Houghton-Mifflin 5
“Mathematics Today” Level 5 HBJ 5
|
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 5 (CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies |
|
|
4.1 A.5 4.1 B.1 4.3 A.1 4.4 C.2 4.5 A.1,2, 3,4,5 4.5 B.1, 2,3,4 4.5 C.1, 2,3,4,5,6 4.5 D.1, 2,3,4,5,6 4.5 E.1, 2,3 4.5 F.1, 2,3,4,5,6 |
Multiply Whole Numbers and Decimals: - estimate products of whole numbers and decimals - multiply whole numbers and decimals - solve problems, including those that involve multiplication of whole numbers and decimals
|
“Mastering Math” Level 5 Steck-Vaughn E
“Mathematics” Level 5 Houghton-Mifflin 5
“Mathematics Today” Level 5 HBJ 5
“Fifth Grade Math Basics” Level 5 Teacher’s Friend Publishing - Pg. 31-34 |
|
|
4.1 B-3, 5,6 4.3 A-1 4.3 D-1 4.5 A-1, 2,3,4,5 4.5 B-1, 2,3,4 4.5 C-1, 2,3,4,5,6 |
Divide Whole Numbers and Decimals by One and Two Digit Divisors: - estimate quotients of one and two digit whole and decimal numbers using compatible numbers as a strategy - divide whole numbers and decimals by one and two digit numbers - find the mean for a set of data - evaluate multiplication and division expressions - solve problems including those that involve division and the guess and test and revise strategy |
“Mastering Math” Level 5 Steck-Vaughn E
“Mathematics Today” Level 5 HBJ 5
“Fifth Grade Math Basics” Level 5 Teacher’s Friend Publishing
“Fractions and Decimals” Level 5 Scholastic |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 5 (CONTINUED)
|
|
4.2 A-1,2,3, 4.2 B1, 2 4.2 C-1 4.2 D-1 4.2 E-1 4.5 A-1,2,3,4 4.5 B-1,2,3,4 4.5 C-1, 2,3,4,5,6 4.5 D-1, 2,3,4,5,6 4.5 E-1, 2,3 4.5 F-1, 2,3,4,5,6 |
Geometry: - identify and classify plane figures by their properties - identify congruent and similar figures, lines of symmetry, and transformations of figures - graph ordered pairs - measure angles and find the sum of the measures of the interior angles of a polygon - solve problems, including those that involve geometry and logical reasoning
|
“Mathematics” Level 5 Houghton-Mifflin
“Mathematics Today” Level 5 HBJ 5
“Fifth Grade Math Review” Level 5 Teacher’s Friend Publishing - Pg 36. |
|
|
4.1 A-1, 4,5 4.5 A-1, 2,3,4,5 4.5 B-1, 2,3,4 4.5 C-1, 2,3,4,5,6 4.5 D-1, 2,3,4,5,6 4.5 E-1, 2,3 4.5 F-1, 2,3,4,5,6 |
Fraction Concepts and Number Theory: - read and write fractions, equivalent fractions and mixed numbers - compare and order fractions and mixed numbers - identify prime and composite numbers - find the Greatest Common Factors and Least Common Multiples of a set of numbers - solve problems involving fractions, mixed numbers and making an organized list
|
“Mastering Math” Level 5 Steck-Vaughn E
“Mathematics” Level 5 Houghton-Mifflin 5
“Fifth Grade Math Review” Level 5 Teacher’s Friend Publishing
“Fractions and Decimals” Level 5 Scholastic |
|
|
4.1 A-1, 4 4.1 B-1, 2,4,5 4.1 C-1, 2,3,4 4.5 A-1, 2,3,4,5 4.5 B-1, 2,3,4 4.5 C-1, 2,3,4,5,6 4.5 D-1, 2,3,4,5,6 4.5 E-1, 2,3 4.5 F-1, 2,3,4,5,6 |
Add, Subtract, Multiply and Divide Fractions and Mixed Numbers: - estimate sums and differences of fractions and mixed numbers - estimate the fraction of a whole number - add, subtract, multiply and divide fractions and mixed numbers by fractions and whole numbers - solve problems involving addition, subtraction, multiplication and division of fractions and mixed numbers - solve problems including those which require working backward and solving a simpler problem as a solution |
“Mastering Math” Level 5 Steck-Vaughn E
“Mathematics Today” Level 5 HBJ 5
“Fifth Grade Basics” Level 5 Teacher’s Friend Pub..
“Fractions and Decimals” Level 5 Scholastic |
CUMULATIVE PROGRESS INDICATORS/MAJOR OUTCOMES/ ASSESSMENTS GRADE 5(CONTINUED)
|
National Common Core Standards |
Cumulative Progress Indicators |
Major Outcomes: The learner will… |
Assessments/ Materials/Strategies
|
|
|
4.2 D-2, 3,4 4.5 A-1, 2,3,4,5 4.5 B-1, 2,3,4 4.5 C-1, 2,3,4,5,6 4.5 D-1, 2,3,4,5,6 4.5 E-1, 2,3 4.5 F-1, 2,3,4,5,6 |
Measurement: - estimate and measure length using customary and metric units - estimate and measure weight, mass or capacity using customary and metric units - convert measurements within customary and metric systems including length, weight, mass or capacity - convert and compute with units of time - solve problems including those that involve measurement and patterns |
“Mastering Math” Level 5 Steck-Vaughn E
“Mathematics” Level 5 Houghton Mifflin 5
“Mathematics Today” Level 5 HBJ5
|
|
|
4.1 A-1 4.1 B-4, 5 4.1 C-2, 3,4 4.5 A-1, 2,3,4,5 4.5 B-1, 2,3,4 4.5 C-1, 2,3,4,5,6 4.5 D-1, 2,3,4,5,6 4.5 E-1, 2,3 4.5 F-1, 2,3,4,5,6 |
Perimeter, Area and Volume: - find the perimeter of polygons and the circumference of circles - find the area of rectangles, right triangles and parallelograms - find the volume of rectangular prisms - solve problems involving perimeter, area, volume and model making
|
“Mathematics” Level 5 Houghton-Mifflin 5
“Mathematics Today” Level 5 HBJ 5
“Fifth Grade Math Basics” Level 5 Teacher’s Friend Publishing - Pg. 36-37 |
|
|
4.4 B-1, 2,3 4.4 D-1 4.5 A-1, 2,3,4,5 4.5 B-1, 2,3,4 4.5 C-1, 2,3,4,5,6 4.5 D-1, 2,3,4,5,6 4.5 E-1, 2,3 4.5 F-1, 2,3,4,5,6 |
Ratio, Percent and Probability: - compare two numbers using a ratio and find an equal ratio - read, interpret and compare scale drawings - express values as ratios, fractions or decimals and convert from one form to another - find probabilities - solve problems using ratios, percents, probabilities and conducting experiments |
“Mathematics Today” Level 5 HBJ 5 - Unit 14 pg. 378 |
Mercer Man
