IXL Skill Plan

[Pages:15]IXL Skill Plan

California Common Core Content Standards: Grade 5

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California Common Core Content Standards - 5th grade

5.5.OA | Operations and Algebraic Thinking

5 Write and interpret numerical expressions.

5.5.OA.1: Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols.

5.5.OA.2: Write simple expressions that record calculations with numbers, and interpret numerical expressions without evaluating them.

5.5.OA.2.1: Express a whole number in the range 250 as a product of its prime factors.

5 Analyze patterns and relationships.

5.5.OA.3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.

1. Evaluate numerical expressions Z5N 2. Evaluate numerical expressions with

parentheses HGW 3. Identify mistakes involving the order of

operations JLJ

1. Write numerical expressions: one operation SCJ 2. Write numerical expressions: two

operations 8ME

1. Prime factorization YL2

1. Compare patterns XPM 2. Complete a table for a two-variable

relationship NEK 3. Complete a table from a graph 2WL 4. Graph a two-variable relationship QEH

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California Common Core Content Standards - 5th grade

5.5.NBT | Number and Operations in Base Ten

5 Understand the place value system. 5.5.NBT.1: Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. 5.5.NBT.2: Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

5.5.NBT.3: Read, write, and compare decimals to thousandths.

1. Convert between standard and expanded form HU7

2. Place value 83P 3. Place values in decimal numbers X8U 4. Relationship between decimal place values DVM

Exponents and powers of 10

1. Understanding powers of ten 8HS 2. Evaluate powers of ten XTY 3. Write powers of ten with exponents KGQ

Multiply by powers of ten

4. Multiply a whole number by a power of ten: with exponents 92K

5. Multiply a decimal by a power of ten: with exponents 5KC

6. Multiply a decimal by a power of ten DN2 7. Multiply by 0.1 or 0.01 85W 8. Multiply by a power of ten with decimals: find

the missing number GC5

Divide by powers of ten

9. Divide by a power of ten: with exponents CL2 10. Divide by powers of ten H2N 11. Decimal division patterns over increasing place

values GBS 12. Divide by a power of ten with decimals: find

the missing number R2P 13. Divide by 0.1 or 0.01 WD7

Multiply and divide by powers of ten

14. Multiply and divide by a power of ten: with exponents FXQ

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California Common Core Content Standards - 5th grade

5.5.NBT.3.a: Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 ? 100 + 4 ? 10 + 7 ? 1 + 3 ? (1/10) + 9 ? (1/100) + 2 ? (1/1000).

Base-ten numerals

1. What decimal number is illustrated? CTP

Number names

2. Understanding decimals expressed in words F9G

Expanded form

3. Convert decimals between standard and expanded form WTU

4. Convert decimals between standard and expanded form using fractions BLQ

5.5.NBT.3.b: Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

1. Compare decimals using grids QTG 2. Compare decimals on number lines CUF 3. Compare decimal numbers NSG

5.5.NBT.4: Use place value understanding to round decimals to any place.

1. Round decimals MPB

2. Estimate sums and differences of decimals using rounding YGG

5 Perform operations with multi-digit whole numbers and with decimals to hundredths.

5.5.NBT.5: Fluently multiply multi-digit whole numbers using the standard algorithm.

Multiply by 2-digit numbers

1. Multiply by 2-digit numbers: complete the missing steps 9LX

2. Multiply 2-digit numbers by 2-digit numbers LLJ 3. Multiply 2-digit numbers by 3-digit numbers JHB 4. Multiply 2-digit numbers by larger numbers 9VQ 5. Multiply by 2-digit numbers: word problems J95

Multiply by 3-digit numbers

6. Multiply by 3-digit numbers NSP

Multiply three or more numbers

7. Multiply three or more numbers up to 2 digits each CKE

8. Multiply three numbers up to 3 digits each 7JG

9. Multiply three or more numbers: word problems 2AK

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California Common Core Content Standards - 5th grade

5.5.NBT.6: Find whole-number quotients of whole numbers with up to four-digit dividends and twodigit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

5.5.NBT.7: Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

2-digit and 3-digit dividends

1. Divide 2-digit and 3-digit numbers by 2-digit numbers HMA

2. Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems AJW

4-digit dividends

3. Divide 4-digit numbers by 2-digit numbers 35K 4. Divide 4-digit numbers by 2-digit numbers: word

problems J8L 5. Choose numbers with a particular quotient FBX

Strategies

6. Divide numbers ending in zeroes J8Y 7. Divide numbers ending in zeroes: word

problems G66 8. Divide by 2-digit numbers using models AJA 9. Divide by 2-digit numbers using partial

quotients ASM 10. Multi-step word problems: multiplicative

comparison V59 11. Relate multiplication and division VA6

Add and subtract

1. Add decimal numbers using blocks NWJ 2. Add decimal numbers BDX 3. Subtract decimal numbers SC8 4. Add and subtract decimal numbers 7VJ 5. Add and subtract decimals: word problems 35U 6. Choose decimals with a particular sum or

difference ARW 7. Complete the decimal addition or subtraction

sentence ZKV 8. Add and subtract money amounts A8R 9. Add and subtract money: word problems DLC 10. Keeping financial records FAZ

Multiply decimals and whole numbers

11. Multiply a decimal by a one-digit whole number using blocks U5Q

12. Multiply a decimal by a one-digit whole number using the distributive property 9BA

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California Common Core Content Standards - 5th grade

13. Multiply a decimal by a one-digit whole number XNY

14. Multiply a decimal by a two-digit whole number using area models VNT

15. Multiply a decimal by a multi-digit whole number PGM

16. Multiply decimals and whole numbers: word problems 83A

17. Multiply three or more numbers, one of which is a decimal ZNW

18. Multiply money amounts: word problems U5L

Multiply two decimals

19. Complete the decimal multiplication sentence using grids R9T

20. Multiply decimals using grids 66Z 21. Multiply two decimals: where does the decimal

point go? 6FA 22. Multiply two decimals: products up to

hundredths FLL 23. Multiply two decimals: products up to

thousandths TDG

Divide

24. Divide decimals using blocks: complete the equation DDK

25. Divide decimals using area models: complete the equation U6C

26. Division with decimal quotients J9Z 27. Division with decimal quotients and

rounding M9X 28. Division with decimal quotients: word

problems Z2X 29. Divide by decimals without adding zeroes RTS 30. Divide by decimals 8FT 31. Divide money amounts: word problems 2RU

Mixed operations

32. Add, subtract, multiply, and divide decimals NZG

33. Add, subtract, multiply, and divide decimals: word problems 7SX

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California Common Core Content Standards - 5th grade

5.5.NF | Number and Operations-Fractions

5 Use equivalent fractions as a strategy to add and subtract fractions.

5.5.NF.1: Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.

Add fractions

1. Add fractions with unlike denominators using models 2BS

2. Add up to 4 fractions with denominators of 10 and 100 45T

3. Add fractions with unlike denominators D9N

4. Add 3 or more fractions with unlike denominators PBF

Subtract fractions

5. Subtract fractions with unlike denominators using models QA6

6. Subtract fractions with unlike denominators VSP

7. Complete addition and subtraction sentences with fractions FCA

Add and subtract mixed numbers

8. Add mixed numbers with unlike denominators FHD

9. Subtract mixed numbers with unlike denominators FAA

10. Complete addition and subtraction sentences with mixed numbers PSP

5.5.NF.2: Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.

Like denominators

1. Add and subtract fractions with like denominators: word problems 7YQ

Unlike denominators

2. Estimate sums and differences of fractions using benchmarks 9JR

3. Add and subtract fractions with unlike denominators: word problems TCD

4. Add 3 or more fractions: word problems BFQ

5. Add and subtract mixed numbers: word problems 6BH

6. Add and subtract fractions in recipes W9K

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California Common Core Content Standards - 5th grade

5 Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

5.5.NF.3: Interpret a fraction as division of the numerator by the denominator (a/b = a ? b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

1. Fractions review PCF 2. Fractions of a whole: word problems 2VP 3. Fractions of a group: word problems MR2 4. Understand fractions as division: word

problems CTD 5. Divide fractions by whole numbers FKT

5.5.NF.4: Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.

5.5.NF.4.a: Interpret the product (a/b) ? q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a ? q ? b.

Multiply fractions by whole numbers

1. Multiply fractions by whole numbers using arrays RB9

2. Multiply fractions by whole numbers I QFQ 3. Multiply fractions by whole numbers II 69L 4. Multiply fractions by whole numbers:

input/output tables 2KU 5. Fractions of a number I AHX 6. Fractions of a number: word problems LPC 7. Fractions of a number II 8DG

Multiply two fractions

8. Multiply two unit fractions using models HDJ 9. Multiply two fractions using models UAY 10. Multiply two fractions 8KV

Multiply mixed numbers

11. Multiply a mixed number by a whole number 6Q4

12. Multiply a mixed number by a fraction G7W

13. Multiply two mixed numbers P73

5.5.NF.4.b: Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and

Multiply fractions with models

1. Multiply two unit fractions using models HDJ

2. Multiply two fractions using models: fill in the missing factor AT7

3. Multiply two fractions using models UAY

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