Academic standards

- CCSS.Math.Content.4.MD.A.1
- Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single...
- CCSS.Math.Content.4.MD.A.2
- Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including...
- CCSS.Math.Content.4.MD.B.4
- Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of...
- 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...
- CCSS.Math.Content.4.NBT.A.3
- Use place value understanding to round multi-digit whole numbers to any place.
- 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...
- 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...
- CCSS.Math.Content.4.NF.A.1
- Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size...
- 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...
- CCSS.Math.Content.4.NF.B.3
- Understand a fraction a/b with a > 1 as a sum of fractions 1/b.
- CCSS.Math.Content.4.NF.B.4
- Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
- CCSS.Math.Content.4.NF.C.5
- Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective...
- 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...
- 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...
- CCSS.Math.Content.4.OA.A.2
- Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown...
- CCSS.Math.Content.4.OA.A.3
- Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which...
- GLE 0406.1.2
- Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
- GLE 0406.2.2
- Develop fluency with multiplication and single-digit division.
- GLE 0406.2.4
- Understand and use the connections between fractions and decimals.
- GLE 0406.2.5
- Add and subtract fractions with like and unlike denominators.
- GLE 0406.2.6
- Solve problems involving whole numbers, fractions, and/or decimals using all four arithmetic operations.
- GLE 0406.4.2
- Understand and use measures of length, area, capacity, and weight.
- GLE 0406.4.3
- Solve problems that involve estimating and measuring length, area, capacity and weight.
- GLE 0406.5.1
- Collect, record, arrange, present, and interpret data using tables and various representations.
- SPI 0406.1.2
- Compare decimals using concrete and pictorial representations.
- SPI 0406.2.10
- Solve contextual problems using whole numbers, fractions, and decimals.
- SPI 0406.2.11
- Solve problems using whole number multi-digit multiplication.
- SPI 0406.2.5
- Generate equivalent forms of common fractions and decimals and use them to compare size.
- SPI 0406.2.6
- Use the symbols and = to compare common fractions and decimals in both increasing and decreasing order.
- SPI 0406.2.8
- Add and subtract proper fractions with like and unlike denominators and simplify the answer.
- SPI 0406.3.1
- Use letters and symbols to represent an unknown quantity and write a simple mathematical expression
- SPI 0406.4.7
- Determine appropriate size of unit of measurement in problem situations involving length, capacity or weight.
- SPI 0406.5.1
- Depict data using various representations (e.g., tables, pictographs, line graphs, bar graphs).
- SPI 0406.5.2
- Solve problems using estimation and comparison within a single set of data.
- TSS.Math.4.MD.A.2
- Solve one- or two-step real-world problems involving whole number measurements with all four operations within a single system of measurement including...
- TSS.Math.4.MD.B.4
- Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems...
- TSS.Math.4.NF.A.1
- Explain why a fraction a/b is equivalent to a fraction (axn)/(bxn) or (a/n)/(b/n) by using visual fraction models, with attention to how the number and size...
- TSS.Math.4.NF.A.2
- Compare two fractions with different numerators and different denominators by creating common denominators or common numerators or by comparing to a...
- TSS.Math.4.NF.B.3
- Understand a fraction a/b with a > 1 as a sum of fractions 1/b. For example, 4/5 = 1/5 + 1/5 + 1/5 + 1/5.
- TSS.Math.4.NF.B.4
- Apply and extend previous understandings of multiplication as repeated addition to multiply a whole number by a fraction.
- TSS.Math.4.NF.C.5
- Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective...
- TSS.Math.4.NF.C.6
- Read and write decimal notation for fractions with denominators 10 or 100. Locate these decimals on a number line.
- TSS.Math.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....
- TSS.Math.4.OA.A.3
- Solve multi-step contextual problems posed with whole numbers and having whole-number answers using the four operations, including problems in which...

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Essential and guiding questions:

Whole Group Questions

Modeling the combining of fractions:

- How did you model the combining of each portion of M&Ms in the treat bags?
- Did anyone show it a different way?

Multiplication of a whole number by a fraction:

- How did you turn the whole number into a fraction?
- How did you multiply the whole number by the fraction?
- How could you model 9/1 ?
- How is this similar to multiplying two whole numbers?

Addition of fractions with like denominators:

- If you chose to use repeated addition, explain why the denominator stays the same and the numerator increases?
- How can you write the repeated addition equation as a multiplication equation?
- Changing the improper fraction into a whole or mixed number:
- How can you decompose the improper fraction and recombine the unit fractions to make a whole or mixed number?
- Did anyone use a different strategy?

Comparing the combining of two fractions to the benchmark 1:

- Did you have to add ½ + 2/3 ? Or is there another way to know if they are greater than 1?
- How did you know that the portion of M&Ms was too much to fit into the treat bag?
- Which is bigger 2/3 or 1/2?
- What is ½ + ½?