Academic standards
- CCSS.Math.Content.3.MD.A.1
- Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction of time...
- CCSS.Math.Content.3.MD.A.2
- Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l).1 Add, subtract,...
- CCSS.Math.Content.3.MD.C.5
- Recognize area as an attribute of plane figures and understand concepts of area measurement.
- CCSS.Math.Content.3.MD.C.6
- Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units).
- CCSS.Math.Content.3.MD.C.7
- Relate area to the operations of multiplication and addition.
- CCSS.Math.Content.3.MD.D.8
- Solve real world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an...
- 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.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...
- 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.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.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.A.1
- Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these...
- 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.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.G.A.1
- Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles...
- CCSS.Math.Content.6.NS.A.1
- Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction...
- CCSS.Math.Content.6.NS.C.6
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to...
- CCSS.Math.Content.6.NS.C.7
- Understand ordering and absolute value of rational numbers.
- CCSS.Math.Content.7.EE.A.1
- Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
- CCSS.Math.Content.7.EE.B.3
- Solve multi-step real-life and mathematical problems posed with positive and negative rational numbers in any form (whole numbers, fractions, and...
- CCSS.Math.Content.7.NS.A.1
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
- CCSS.Math.Content.7.NS.A.2
- Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- CCSS.Math.Content.7.NS.A.3
- Solve real-world and mathematical problems involving the four operations with rational numbers.1
- 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 0306.3.1
- Develop meaning for and apply the commutative, associative, and distributive properties using various representations.
- GLE 0306.4.4
- Use appropriate units, strategies and tools to solve problems involving perimeter.
- GLE 0306.4.5
- Solve measurement problems involving fractional parts of linear units and capacity units.
- 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 0406.2.5
- 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.
- GLE 0506.2.4
- Develop fluency with addition and subtraction of proper and improper fractions and mixed numbers; explain and model the algorithm.
- GLE 0506.4.1
- Use basic formulas and visualization to find the area of geometric figures.
- GLE 0506.5.1
- Make, record, display and interpret data and graphs that include whole numbers, decimals, and fractions.
- GLE 0606.2.1
- Understand and explain the procedures for multiplication and division of fractions, mixed numbers, and decimals.
- GLE 0606.2.2
- Solve multi-step mathematical, contextual and verbal problems using fractions, mixed numbers, and decimals.
- GLE 0606.2.4
- Understand and convert between fraction, decimal, and percent forms of rational numbers.
- GLE 0606.3.6
- Understand and use the Cartesian coordinate system.
- GLE 0706.1.1
- Use mathematical language, symbols, and definitions while developing mathematical reasoning.
- GLE 0706.1.2
- Apply and adapt a variety of appropriate strategies to problem solving, including estimation, and reasonableness of the solution.
- GLE 0706.1.3
- Develop independent reasoning to communicate mathematical ideas and derive algorithms and/or formulas.
- GLE 0706.1.4
- Move flexibly between concrete and abstract representations of mathematical ideas in order to solve problems, model mathematical ideas, and communicate solution...
- GLE 0706.1.5
- Use mathematical ideas and processes in different settings to formulate patterns, analyze graphs, set up and solve problems and interpret solutions.
- GLE 0706.1.6
- Read and interpret the language of mathematics and use written/oral communication to express mathematical ideas precisely.
- GLE 0706.1.7
- Recognize the historical development of mathematics, mathematics in context, and the connections between mathematics and the real world.
- GLE 0706.1.8
- Use technologies/manipulatives appropriately to develop understanding of mathematical algorithms, to facilitate problem solving, and to create accurate and...
- GLE 0706.2.1
- Extend understandings of addition, subtraction, multiplication and division to integers.
- GLE 0706.2.2
- Understand and work with the properties of and operations on the system of rational numbers.
- SPI 0306.1.2
- Solve problems involving elapsed time.
- SPI 0306.2.14
- Add and subtract fractions with like denominators.
- SPI 0306.4.4
- Calculate the perimeter of shapes made from polygons.
- SPI 0306.4.5
- Choose reasonable units of measure, estimate common measurements using benchmarks, and use appropriate tools to make measurements.
- 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 0406.4.8
- Convert measurements within a single system that are common in daily life (e.g., hours and minutes, inches and feet, centimeters and meters, quarts and gallons,...
- SPI 0406.4.9
- Solve problems involving area and/or perimeter of rectangular figures.
- 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 0506.2.8
- Write terminating decimals in the form of fractions or mixed numbers.
- SPI 0506.2.9
- Compare whole numbers, decimals and fractions using the symbols , and =.
- SPI 0506.4.1
- Solve contextual problems that require calculating the area of triangles and parallelograms.
- SPI 0506.4.2
- Decompose irregular shapes to find perimeter and area.
- SPI 0606.2.1
- Solve problems involving the multiplication and division of fractions.
- SPI 0606.2.2
- Solve problems involving the addition, subtraction, multiplication, and division of mixed numbers.
- SPI 0606.2.4
- Solve multi-step arithmetic problems using fractions, mixed numbers, and decimals.
- SPI 0606.2.7
- Locate positive rational numbers on the number line.
- SPI 0606.2.8
- Locate integers on the number line.
- SPI 0606.3.9
- Graph ordered pairs of integers in all four quadrants of the Cartesian coordinate system.
- SPI 0706.2.1
- Simplify numerical expressions involving rational numbers.
- SPI 0706.2.3
- Use rational numbers and roots of perfect squares/cubes to solve contextual problems.
- SPI 0706.2.5
- Solve contextual problems that involve operations with integers.
- TSS.Math.3.MD.A.1
- Tell and write time to the nearest minute and measure time intervals in minutes. Solve contextual problems involving addition and subtraction of time...
- TSS.Math.3.MD.A.2
- Measure the mass of objects and liquid volume using standard units of grams (g), kilograms (kg), milliliters (ml), and liters (l). Estimate the mass of ...
- TSS.Math.3.MD.C.5
- Recognize that plane figures have an area and understand concepts of area measurement.
- TSS.Math.3.MD.C.6
- Measure areas by counting unit squares (square centimeters, square meters, square inches, square feet, and improvised units).
- TSS.Math.3.MD.C.7
- Relate area of rectangles to the operations of multiplication and addition.
- TSS.Math.3.MD.D.8
- Solve real-world and mathematical problems involving perimeters of polygons, including finding the perimeter given the side lengths, finding an unknown side...
- TSS.Math.4.MD.A.1
- Measure and estimate to determine relative sizes of measurement units within a single system of measurement involving length, liquid volume, and mass/weight...
- 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.A.3
- Know and apply the area and perimeter formulas for rectangles in realworld and mathematical problems.
- 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.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.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.A.1
- Convert customary and metric measurement units within a single system by expressing measurements of a larger unit in terms of a smaller unit. Use these...
- 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.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.G.A.1
- Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other...
- TSS.Math.6.NS.A.1
- Interpret and compute quotients of fractions, and solve contextual problems involving division of fractions by fractions (e.g., using visual fraction models...
- TSS.Math.6.NS.C.6
- Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent...
- TSS.Math.6.NS.C.7
- Understand ordering and absolute value of rational numbers.
- TSS.Math.7.EE.A.1
- Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients.
- TSS.Math.7.EE.B.3
- Solve multi-step real-world and mathematical problems posed with positive and negative rational numbers presented in any form (whole numbers, fractions, and...
- TSS.Math.7.NS.A.1
- Apply and extend previous understandings of addition and subtraction to add and subtract rational numbers; represent addition and subtraction on a...
- TSS.Math.7.NS.A.2
- Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
- TSS.Math.7.NS.A.3
- Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for...
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