1.1

R

4N1

4^th grade standard

1.2

T

5N1

Demonstrate an understanding of (positive integer) powers of ten, e.g., 10², 10⁵.

Powers of 10 only

1.3

T

5N2/5N3

Demonstrate an understanding of place value through millions and thousandths.

Represent and compare large (millions) and small (thousandths) positive numbers in various forms, such as expanded notation without exponents, e.g., 9724 = 9 x 1000 + 7 x 100 + 2 x 10 + 4.

Review, but extend to at least millions

1.4

T & R

5N3/4N16

Represent and compare large (millions) and small (thousandths) positive numbers in various forms, such as expanded notation without exponents, e.g., 9724 = 9 x 1000 + 7 x 100 + 2 x 10 + 4.

4N16 (rounding)

1.5

T

5N2

Demonstrate an understanding of place value through millions and thousandths.

1.6

T

PS

Find a Pattern

Strategy

1.7

T

5N7

Compare and order whole numbers, positive fractions, positive mixed numbers, positive ­decimals, and percents.

2.1

T

5P3

Use the properties of equality to solve problems with whole numbers, e.g., if  + 7 = 13, then  = 13 – 7, therefore  = 6 ; if 3 x  = 15, then  = 15 ÷ 3, therefore  = 5.

Only w/ addition

2.2

R

4N17/4N14

4^th grade standards 4N17-estimating, 4N14 add/sub.

2.3

R

4N12

4^th grade standard

2.4

R & T

4N12

5N12/5N14

Accurately and efficiently add and subtract whole numbers and positive decimals. Multiply and divide (using double-digit divisors) whole numbers. Multiply positive decimals with whole numbers.

 Estimate sums and differences of whole numbers, positive fractions, and positive decimals. Estimate products of whole numbers and products of positive decimals with whole numbers. Use a variety of strategies and judge the reasonableness of the answer.

Review up to 5 digit teach beyond that

2.5

T

5P3/5N11

Use the properties of equality to solve problems with whole numbers, e.g., if  + 7 = 13, then  = 13 – 7, therefore  = 6 ; if 3 x  = 15, then  = 15 ÷ 3,therefore  = 5.

Demonstrate an understanding of the inverse relationship of addition and ­subtraction, and use that understanding to simplify computation and solve problems.

 

Covers add/sub. portion of standard

2.6

T

PS

Relevant Information

3.1

T

5P3

Use the properties of equality to solve problems with whole numbers, e.g., if  + 7 = 13, then  = 13 – 7, therefore  = 6 ; if 3 x  = 15, then  = 15 ÷ 3, therefore  = 5.

Covers mult./ portion of standard

3.2

E

8N8

8^th grade standard

3.3

T

PS

Use Logical Reasoning

Strategy

3.4

R

4N12

4^th grade standard

3.5

R

4N11

4^th grade standard

3.6

R

4N17

4^th grade standard

3.7

R

4N12

4^th grade standard

3.8

T

PS

Explain Your Solution

Strategy

4.1

R

4N8

4^th grade standard

4.2

R

4N13

4^th grade standard

4.3

T

PS

Use Operations

Strategy

4.4

T& E

5N8/6N8

Apply the number theory concepts of common factor, common multiple, and divisibility rules for 2, 3, 5, and 10 to the solution of problems. Demonstrate an understanding of the concepts of prime and composite numbers.

Teach 2,3,5 & 10 (divisibility rules)

 Enrich 4, 6, & 9

4.5

R

4N13

4^th grade standard

4.6

T

PS

Guess and Check

Strategy

4.7

T

5P2/5P3

Replace variables with given values and evaluate/simplify, e.g., 2(m) + 3 when m = 4.

Use the properties of equality to solve problems with whole numbers, e.g., if  + 7 = 13, then  = 13 – 7, therefore  = 6 ; if 3 x  = 15, then  = 15 ÷ 3, therefore  = 5.

5.1

T

5N12

Accurately and efficiently add and subtract whole numbers and positive decimals. Multiply and divide (using double-digit divisors) whole numbers. Multiply positive decimals with whole numbers.

*5.2

T

5N12

Accurately and efficiently add and subtract whole numbers and positive decimals. Multiply and divide (using double-digit divisors) whole numbers. Multiply positive decimals with whole numbers.

5.3

T

PS

Work Backward

Strategy

*5.4

T

5N12

Accurately and efficiently add and subtract whole numbers and positive decimals. Multiply and divide (using double-digit divisors) whole numbers. Multiply positive decimals with whole numbers.

*5.5

T

5N12

Accurately and efficiently add and subtract whole numbers and positive decimals. Multiply and divide (using double-digit divisors) whole numbers. Multiply positive decimals with whole numbers.

Exponents is grade 8 standard Don’t use examples w/ exponents

5.6

T/E

5N10/6N1

Demonstrate an understanding of how parentheses affect expressions involving addition, subtraction, and multiplication, and use that understanding to solve problems, e.g., 3 x (4 + 2) = 3 x 6.

Enrich exponents

5.7

T

PS

Interpret Remainders

9.1

T

5N8

Apply the number theory concepts of common factor, common multiple, and divisibility rules for 2, 3, 5, and 10 to the solution of problems. Demonstrate an understanding of the concepts of prime and composite numbers.

9.2

S

6N8

6^th grade standard

9.3

S

6N8

6^th grade standard

 -Need to find a supplement for common factor

9.4

S

6N8

6^th grade standard

-Need to find a supplement for common multiple

9.5

R & T

4N4/5N4/5N6

Demonstrate an understanding of fractions as a ratio of whole numbers, as parts of unit wholes, as parts of a collection, and as locations on the number line.

Find and position whole numbers, positive fractions, positive mixed numbers, and positive decimals on a number line.

Teach location of fractions on a number line

9.6

T

5N5

Identify and determine common equivalent fractions (with denominators 2, 4, 5, 10) and mixed numbers (with denominators 2, 4, 5, 10), decimals, and percents (through one ­hundred percent), e.g., 3/4 = 0.75 = 75%.

9.7

T

PS

Use Logical Reasoning

Strategy

9.8

T

5N4/5N5/5N6

Demonstrate an understanding of fractions as a ratio of whole numbers, as parts of unit wholes, as parts of a collection, and as locations on the number line.

Identify and determine common equivalent fractions (with denominators 2, 4, 5, 10) and mixed numbers (with denominators 2, 4, 5, 10), decimals, and percents (through one ­hundred percent), e.g., 3/4 = 0.75 = 75%.

Find and position whole numbers, positive fractions, positive mixed numbers, and positive decimals on a number line.

9.9

T

5N5/5N7

Identify and determine common equivalent fractions (with denominators 2, 4, 5, 10) and mixed numbers (with denominators 2, 4, 5, 10), decimals, and percents (through one ­hundred percent), e.g., 3/4 = 0.75 = 75%.

Compare and order whole numbers, positive fractions, positive mixed numbers, positive ­decimals, and percents.

10.1

T

5N14

Estimate sums and differences of whole numbers, positive fractions, and positive decimals. Estimate products of whole numbers and products of positive decimals with whole numbers. Use a variety of strategies and judge the reasonableness of the answer.

*10.2

T

5N13

 Accurately and efficiently add and subtract positive fractions and mixed numbers with like denominators and with unlike denominators (2, 4, 5, 10 only); multiply positive fractions with whole numbers. Simplify fractions in cases when both the numerator and the ­denominator have 2, 3, 4, 5, or 10 as a common factor.

*10.3

T

5N13

Accurately and efficiently add and subtract positive fractions and mixed numbers with like denominators and with unlike denominators (2, 4, 5, 10 only); multiply positive fractions with whole numbers. Simplify fractions in cases when both the numerator and the ­denominator have 2, 3, 4, 5, or 10 as a common factor.

10.4

T

5N13

 Accurately and efficiently add and subtract positive fractions and mixed numbers with like denominators and with unlike denominators (2, 4, 5, 10 only); multiply positive fractions with whole numbers. Simplify fractions in cases when both the numerator and the ­denominator have 2, 3, 4, 5, or 10 as a common factor.

*10.5

T

5N13

Accurately and efficiently add and subtract positive fractions and mixed numbers with like denominators and with unlike denominators (2, 4, 5, 10 only); multiply positive fractions with whole numbers. Simplify fractions in cases when both the numerator and the ­denominator have 2, 3, 4, 5, or 10 as a common factor.

*10.6

T

5N13

Accurately and efficiently add and subtract positive fractions and mixed numbers with like denominators and with unlike denominators (2, 4, 5, 10 only); multiply positive fractions with whole numbers. Simplify fractions in cases when both the numerator and the ­denominator have 2, 3, 4, 5, or 10 as a common factor.

10.7

T

PS

Draw a Diagram

Strategy

10.8

T

5N13

Accurately and efficiently add and subtract positive fractions and mixed numbers with like denominators and with unlike denominators (2, 4, 5, 10 only); multiply positive fractions with whole numbers. Simplify fractions in cases when both the numerator and the ­denominator have 2, 3, 4, 5, or 10 as a common factor.

12.1

T

5N13/5N9

Accurately and efficiently add and subtract positive fractions and mixed numbers with like denominators and with unlike denominators (2, 4, 5, 10 only); multiply positive fractions with whole numbers. Simplify fractions in cases when both the numerator and the ­denominator have 2, 3, 4, 5, or 10 as a common factor.

 Solve problems involving multiplication and division of whole numbers, and multiplication of positive fractions with whole numbers.

Multiplication of fractions by whole numbers only

Supplement additional examples of whole number x fraction

12.2

T/E

5N9/6N14

Solve problems involving multiplication and division of whole numbers, and multiplication of positive fractions with whole numbers.

Teach Multiplication of fractions by whole numbers

6^th grade standard- fraction x fraction

12.3

E

6N14

6^th grade standard

12.4

E

6N14

6^th grade standard

12.5

E

6N14

6^th grade standard

12.6

E

6N14

6^th grade standard

12.7

E

6N14

6^th grade standard