Academic standards

- CCSS.Math.Content.3.G.A.2
- Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. For example, partition a shape into 4...
- CCSS.Math.Content.3.NF.A.1
- Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the...
- CCSS.Math.Content.3.NF.A.2
- Understand a fraction as a number on the number line; represent fractions on a number line diagram.
- CCSS.Math.Content.3.NF.A.3
- Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
- 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.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...
- CCSS.Math.Content.5.MD.B.2
- 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...
- CCSS.Math.Content.5.NBT.B.5
- Fluently multiply multi-digit whole numbers using the standard algorithm.
- CCSS.Math.Content.5.NF.A.1
- Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way...
- CCSS.Math.Content.5.NF.A.2
- Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by...
- CCSS.Math.Content.5.NF.B.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...
- CCSS.Math.Content.5.NF.B.4
- Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
- CCSS.Math.Content.5.NF.B.7
- Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.1
- CCSS.Math.Content.6.RP.A.3
- Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams,...
- GLE 0306.2.4
- Solve multiplication and division problems using various representations.
- GLE 0306.2.5
- Understand the meaning and uses of fractions.
- GLE 0306.2.6
- Use various strategies and models to compare and order fractions and identify equivalent fractions.
- GLE 0306.2.7
- Add and subtract fractions with like denominators using various models.
- 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 0406.3.1
- Extend understanding of a variable to equations involving whole numbers, fractions, decimals, and/or mixed numbers.
- GLE 0406.3.3
- Translate between different forms of representations of whole number relationships.
- 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.
- GLE 0506.2.4
- Develop fluency with addition and subtraction of proper and improper fractions and mixed numbers; explain and model the algorithm.
- GLE 0506.5.1
- Make, record, display and interpret data and graphs that include whole numbers, decimals, and fractions.
- GLE 0606.2.3
- Understand and use ratios, rates and percents.
- GLE 0606.3.6
- Understand and use the Cartesian coordinate system.
- GLE 0706.4.2
- Apply proportionality to converting among different units of measurements to solve problems involving rates such as motion at a constant speed.
- GLE 0706.4.4
- Understand and use ratios, derived quantities, and indirect measurements.
- GLE 0807.9.4
- Distinguish among elements, compounds, and mixtures.
- SPI 0306.1.2
- Solve problems involving elapsed time.
- SPI 0306.1.4
- Match the spoken, written, concrete, and pictorial representations of fractions with denominators up to ten.
- SPI 0306.2.10
- Identify equivalent fractions given by various representations.
- SPI 0306.2.11
- Recognize and use different interpretations of fractions.
- SPI 0306.2.12
- Name fractions in various contexts that are less than, equal to, or greater than one.
- SPI 0306.2.13
- Recognize, compare, and order fractions (benchmark fractions, common numerators, or common denominators).
- SPI 0306.2.14
- Add and subtract fractions with like denominators.
- SPI 0406.1.2
- Compare decimals using concrete and pictorial representations.
- SPI 0406.2.1
- Read and write numbers from hundredths to hundred-thousands in numerals and in words.
- 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 0406.2.3
- Identify the place value of a specified digit in a number and the quantity it represents.
- 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.
- SPI 0506.1.2
- Estimate fraction and decimal sums or differences.
- SPI 0506.2.7
- Recognize equivalent representations for the same number.
- SPI 0606.2.1
- Solve problems involving the multiplication and division of fractions.
- SPI 0606.2.6
- Solve problems involving ratios, rates and percents.
- SPI 0606.3.9
- Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system.
- SPI 0706.2.6
- Express the ratio between two quantities as a percent, and a percent as a ratio or fraction.
- SPI 0806.1.1
- Solve problems involving rate/time/distance (i.e., d = rt).
- SPI 0806.1.3
- Calculates rates involving cost per unit to determine the best buy.
- SPI 0806.4.4
- Convert between and within the U.S. Customary System and the metric system.
- TSS.Math.3.G.A.2
- Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.
- TSS.Math.3.NF.A.1
- Understand a fraction, 1/b, as the quantity formed by 1 part when a whole is partitioned into b equal parts (unit fraction); understand a fraction a/b as...
- TSS.Math.3.NF.A.2
- Understand a fraction as a number on the number line. Represent fractions on a number line.
- TSS.Math.3.NF.A.3
- Explain equivalence of fractions and compare fractions by reasoning about their size.
- 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.NBT.A.2
- Read and write multi-digit whole numbers (less than or equal to 1,000,000) using standard form, word form, and expanded form (e.g. the expanded form of...
- 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.2
- Multiply or divide to solve contextual problems involving multiplicative comparison, and distinguish multiplicative comparison from additive comparison.
- 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...
- TSS.Math.5.MD.B.2
- 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.5.NBT.B.5
- Fluently multiply multi-digit whole numbers (up to three-digit by four-digit factors) using appropriate strategies and algorithms.
- TSS.Math.5.NF.A.1
- Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to...
- TSS.Math.5.NF.A.2
- Solve contextual problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. Use benchmark...
- TSS.Math.5.NF.B.3
- Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). For example, 3/4 = 3 ÷ 4 so when 3 wholes are shared equally...
- TSS.Math.5.NF.B.4
- Apply and extend previous understandings of multiplication to multiply a fraction by a whole number or a fraction by a fraction.
- TSS.Math.5.NF.B.7
- Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.
- TSS.Math.6.RP.A.3
- Use ratio and rate reasoning to solve real-world and mathematical problems.

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