# Math

## Kindergarten

## Grade 1

- Numbers and Numeration
- Computation and Estimation
- Measurement
- Geometry
- Data Collection and Analysis
- Problem Solving, Reasoning and Communication
- Patterns, Functions and Algebra

## Numbers and Numeration

• Read and write symbols (=, +, -)

• Understand “add, subtract, sum, difference, total, more, less, pattern, equal, odd, and even”

• Count by 1’s, 2’s, 5’s, 10’s to 100

• Use ordinal numbers

• Match and write numerals for sets of tens and ones

• Compare non-equivalent sets by using “greater than” or “less than” and their signs < and >

• Arrange five numbers that are out of order, each less than 100, in proper sequence

• Develop an understanding of zero

• Identify fractional parts (halves, thirds, fourths) using manipulatives

## Computation and Estimation

• Know sums and differences up to 10 with and without manipulatives

• Add and subtract numbers over 10 without regrouping

• Do mixed operations on a page with facts to 10

• Use concrete objects to show addition and subtraction equations to 18

• Create an oral story problem as an explanation of a numerical equation

• Decide whether it is reasonable to estimate and answer or necessary to do the precise calculation

• Estimate answers to computational problems, then complete the computation

## Measurement

• Make simple comparisons of volume, length, weight, area • Apply measurement concepts in context of concrete problem solving situations

• Estimate and measure real objects using standard and non-standard units

• Compare size and weight of objects

• Use a balance

• Choose an appropriate measuring tool

• Name days of the week and seasons

• Use a calendar

• Recognize hours and half-hours on the clock

• Recognize penny, nickel, dime, quarter, dollar and match with value. Begin interchangeability

• Add coins to $1.00

## Geometry

## Data Collection and Analysis

## Problem Solving, Reasoning and Communication

• Use problem-solving approaches to investigate and understand mathematical content

• Evaluate the reasonableness of answers

• Develop and apply strategies to solve a variety of problems

• Recognize multiple solutions as well as strategies and approaches

• Classify and sort objects, using one or more attributes

## Patterns, Functions and Algebra

## Grade 2

- Numbers and Numeration
- Computation and Estimation
- Measurement
- Geometry
- Data Collection and Analysis
- Problem Solving, Reasoning and Communication
- Patterns, Functions and Algebra

## Numbers and Numeration

## Computation and Estimation

- Recognize and use math symbols (+ , - , < , >)
- Add and subtract up to 3-digit numbers without regrouping
- Add two 3-digit numbers with regrouping
- Know math facts to 20 (+/-)
- Fill in missing numbers in equations
- Use computation skills to solve story problems
- Recognize, name, and identify value of coins
- Count money and make change

## Measurement

## Geometry

## Data Collection and Analysis

## Problem Solving, Reasoning and Communication

## Patterns, Functions and Algebra

## Grade 3

- Numbers and Numeration
- Computation and Estimation
- Measurement
- Geometry
- Data Collection and Analysis
- Problem Solving, Reasoning and Communication
- Patterns, Functions and Algebra

## Numbers and Numeration

- Recall addition, subtraction, and multiplication facts
- Read and write ordinal numbers, whole numbers, decimals for money, and simple fractions
- Use <, >, =, +, -, x, /
- Identify place value to 10,000
- Estimate answers
- Round to nearest 10 and 100
- Use expanded notation under 1,000
- Recognize odd and even numbers
- Recognize value of one or more coins up to $1.00
- Make change up to five dollars
- Understand commutative and associative properties with addition

## Computation and Estimation

- Add and subtract up to 3-digit numbers with regrouping
- Subtract two 3-digit numbers with zeros
- Multiply a 2-digit number by a 1-digit number with regrouping
- Estimate, then divide a 2-digit number by a 1-digit number
- Solve missing addend problems
- Add money using decimal notation
- Add and subtract fractions with common denominators

## Measurement

## Geometry

## Data Collection and Analysis

## Problem Solving, Reasoning and Communication

## Patterns, Functions and Algebra

## Grade 4

- Numbers and Numeration
- Computation and Estimation
- Measurement
- Geometry
- Data Collection and Analysis
- Problem Solving, Reasoning and Communication
- Patterns, Functions and Algebra

## Numbers and Numeration

- Define and use: +, -, x, / , =, <, >
- Introduce sum, difference, product, quotient, fraction
- Read and write numbers to 1,000,000
- Know place value to 1,000,000
- Compare place values and decide the relation symbol (<,>,=) between numerals
- Round to nearest 10, 100, 1000
- Use expanded notation to show regrouping of tens, hundreds, etc.
- Understand the inverse relationship of addition and subtraction, multiplication and division
- Recognize odd, even and prime numbers

## Computation and Estimation

- Know addition, subtraction, multiplication and division facts (up to 10's)
- Add and subtract with regrouping
- Subtract with regrouping with zeros
- Multiply with regrouping, 2-digit by 2-digit numbers
- Divide 4-digit numbers by 2-digit numbers, with remainders
- Use the commutative, associative, distributive and identity properties
- Write, order, add, and subtract fractions with like and unlike denominators
- Find the least common factor and the least common multiple of numbers
- Find a common denominator of fractions
- Add money and decimals up to the thousandths
- Use strategies for mental math

## Measurement

## Geometry

## Data Collection and Analysis

## Problem Solving, Reasoning and Communication

## Patterns, Functions and Algebra

## Grade 5

- Numbers and Numeration
- Computation and Estimation
- Measurement
- Geometry
- Data Collection and Analysis
- Problem Solving, Reasoning and Communication
- Patterns, Functions and Algebra

## Numbers and Numeration

- Add, subtract, multiply and divide and demonstrate the inverse relationships between them
- Read, write, and compare whole numbers, fractions, and decimals using <,>,=
- Know place value to a million, decimals to hundredths
- Round whole numbers to 10,000, decimals to hundredths
- Use the distributive properties, and the identity properties of zero and one
- Recognize odd, even, prime, and composite numbers
- Use the divisibility rules for 2,3,5,9,10
- Understand the concept of factors and multiples
- Continue work with fractions (add, subtract, multiply, divide, improper fractions, mixed numbers)

## Computation and Estimation

- Use appropriate method for computing (mental math, paper and pencil, calculator, computer)
- Use appropriate strategies to learn math facts
- Add and subtract 4-digit whole numbers and decimals with regrouping
- Multiply whole numbers and decimals with regrouping (3-digit by 2-digit)
- Divide 3-digit numbers by 2-digit numbers
- Solve one, two and three step word problems
- Use estimation and rounding when appropriate

## Measurement

## Geometry

## Data Collection and Analysis

## Problem Solving, Reasoning and Communication

- Approach problem solving systematically and creatively
- Apply various strategies in the problem solving process
- Develop flexibility, confidence, perseverance, and persistence both independently and in groups
- Use concrete, informal and formal strategies to solve mathematical problems in real-world situations

## Patterns, Functions and Algebra

## Grade 6

- Numbers and Numeration
- Computation and Estimation
- Measurement
- Geometry
- Data Collection and Analysis
- Problem Solving, Reasoning and Communication
- Patterns, Functions and Algebra

## Numbers and Numeration

- Demonstrate the inverse relationship of addition and subtraction, multiplication and division
- Read, write, and compare whole numbers, fractions, decimals, integers and percents, ratios and proportions
- Know place value to a million, decimals to thousandths
- Round whole numbers to 1,000,000, decimals to hundred thousandths
- Use the commutative, associative and distributive properties, and the identity properties of zero and one
- Recognize odd, even, prime, composite, and square numbers
- Understand prime factors, greatest common factors, and least common multiples

## Computation and Estimation

- Add and subtract 5-digit whole numbers and decimals • Multiply whole numbers and decimals with regrouping, with up to a 3-digit multiplier
- Divide 5-digit whole or decimal numbers by 2- digit whole or decimal numbers
- Add and subtract any three proper or mixed fractions
- Multiply any combination of fractions, mixed or whole numbers
- Divide fractions, mixed or whole numbers
- Introduce percent problems
- Solve one, two and three-step word problems
- Find equivalents of decimals, fractions, ratios and percents

## Measurement

## Geometry

## Data Collection and Analysis

## Problem Solving, Reasoning and Communication

## Patterns, Functions and Algebra

- Identify, describe and extend patterns
- Use order of operations to solve equations involving parentheses and exponents
- Use tables, graphs and verbal or symbolic rules
- Understand the use of variables in equations
- Solve simple algebraic equations
- Graph, describe and compare equations on a Cartesian grid