# Number Talks Teaching Resource Pack – Grade 4

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A collection of number talks teaching resources that support meaningful and highly engaging conversations in the mathematics classroom.

Number talks are a daily, math activity that allow students to have meaningful and highly engaging conversations about mathematics. Incorporating these short, ten-minute daily exercises into your classroom routine not only help students develop mental math and flexible thinking about numbers and operations, but also provide opportunities for them to investigate and apply mathematical connections and relationships.

This teaching resource pack supports number talks in the classroom with a range of task cards, a set of hand signal posters, and sentence starters for students to use in their conversations.

This teaching resource pack includes:

- Number Talks – Number Sense Task Cards
- Number Talks – Decimal Representation Task Cards
- Number Talks – Double Digit Multiplication Task Cards
- Number Talks – Division Strategies Task Cards
- Number Talks – Fractional Reasoning Task Cards
- Number Talks – Perimeter and Area Task Cards
- Number Talks – Data Analysis Task Cards
- Number Talks – Hand Signal Poster Pack
- Number Talks – Sentence Starters Poster Pack

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#### Common Core State Standards alignment

Grade 4 > Standards for Mathematical Practice > Operations in Base Ten > Generalize place value understanding for multi-digit whole numbers > **CCSS.MATH.CONTENT.4.NBT.A.1**

Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

Grade 4 > Standards for Mathematical Practice > Operations in Base Ten > Generalize place value understanding for multi-digit whole numbers > **CCSS.MATH.CONTENT.4.NBT.A.2**

Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Grade 4 > Standards for Mathematical Practice > Operations in Base Ten > Generalize place value understanding for multi-digit whole numbers > **CCSS.MATH.CONTENT.4.NBT.A.3**

Use place value understanding to round multi-digit whole numbers to any place.

Grade 4 > Standards for Mathematical Practice > Operations in Base Ten > Use place value understanding and properties of operations to perform multi-digit arithmetic > **CCSS.MATH.CONTENT.4.NBT.B.4**

Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Grade 4 > Standards for Mathematical Practice > Operations in Base Ten > Use place value understanding and properties of operations to perform multi-digit arithmetic > **CCSS.MATH.CONTENT.4.NBT.B.5**

Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Grade 4 > Standards for Mathematical Practice > Operations in Base Ten > Use place value understanding and properties of operations to perform multi-digit arithmetic > **CCSS.MATH.CONTENT.4.NBT.B.6**

Find whole-number quotients and remainders with up to four-digit dividends and one-digit 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.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Extend understanding of fraction equivalence and ordering > **CCSS.MATH.CONTENT.4.NF.A.1**

Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Extend understanding of fraction equivalence and ordering > **CCSS.MATH.CONTENT.4.NF.A.2**

Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Build fractions from unit fractions > **CCSS.MATH.CONTENT.4.NF.B.3**

Understand a fraction a/b with a > 1 as a sum of fractions 1/b.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Build fractions from unit fractions > CCSS.MATH.CONTENT.4.NF.B.3 > **CCSS.MATH.CONTENT.4.NF.B.3.B**

Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Build fractions from unit fractions > CCSS.MATH.CONTENT.4.NF.B.4 > **CCSS.MATH.CONTENT.4.NF.B.4.A**

Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Understand decimal notation for fractions, and compare decimal fractions > **CCSS.MATH.CONTENT.4.NF.C.6**

Use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters; locate 0.62 on a number line diagram.

Grade 4 > Standards for Mathematical Practice > Number & Operations - Fractions > Understand decimal notation for fractions, and compare decimal fractions > **CCSS.MATH.CONTENT.4.NF.C.7**

Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.

Grade 4 > Standards for Mathematical Practice > Measurement & Data > Solve problems involving measurement and conversion of measurements > **CCSS.MATH.CONTENT.4.MD.A.3**

Apply the area and perimeter formulas for rectangles in real world and mathematical problems. For example, find the width of a rectangular room given the area of the flooring and the length, by viewing the area formula as a multiplication equation with an unknown factor.

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