SUMMIT MATH 5 COURSE OVERVIEW
Math 5 Summit is designed to support true depth of knowledge required by today’s standards. With rich content to form conceptual understanding and enough practice to support mastery, including time built-in for individualized independent practice, games, and offline practice, Summit Math 5 includes the tools and technology that students need to succeed in a blended learning environment. Summit Math 5 focuses on expanding understanding of operations with fractions, developing a greater fluency with operations with multi-digit numbers, expanding understanding of decimals, and learning to perform operations with decimals, learning about the coordinate plane, and exploring volume.
UNIT 1: Numerical Expressions
Students learn to use letters to represent unknown values in expressions and equations. They learn to apply the distributive property in equations or expressions with variables. They evaluate simple algebraic expressions and use expressions or equations to answer questions about a problem.
UNIT 2: Multi-digit Whole Number Multiplication and Division
Students learn to estimate or calculate sums, differences, products, and quotients in a whole-number problem. They learn to compute a power using repeated multiplication, solve a problem that involves powers, determine the prime factorization of a composite number, and estimate sums and differences on a number line. They apply standard step-by-step approaches for addition, subtraction, multiplication, and division; use estimation to predict solutions to story problems; define and identify prime numbers; and write equations to demonstrate that whole numbers can be factored in multiple ways.
UNIT 3: Addition and Subtraction of Fractions
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UNIT 4: Addition and Subtraction of Mixed Numbers
Students learn to solve problems involving addition and subtraction of fractions. They use objects or sketches to solve story problems that involve addition or subtraction of fractions. They solve and simplify problems that involve addition or subtraction of fractions with unlike denominators.
UNIT 5: Multiplication with Fractions and Mixed Numbers
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UNIT 6: Division with Unit Fractions
Students learn to multiply and divide fractions and explain a step-by-step approach. They simplify factors in fraction multiplication problems in which numerators and denominators have common factors. They multiply and divide fractions by whole numbers to solve story problems.
UNIT 7: Geometric Measurement: Volume
Students learn to identify, measure, and draw angles, perpendicular and parallel lines, rectangles, and triangles with appropriate math tools. They predict, describe, and perform transformations on two-dimensional shapes. They learn about right, acute, obtuse, and straight angles; lines that are parallel, intersecting, and perpendicular; and different types of triangles and quadrilaterals. They learn the attributes of isosceles, equilateral, and right triangles, parallelograms, rectangles, and squares.
UNIT 9: Decimals
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UNIT 10: Addition and Subtraction of Decimals
Students learn to round decimal number to any place through hundredths, estimate the sum or difference in problems involving decimal numbers, and solve addition or subtraction problems involving decimal numbers. They learn how to verify that the calculated result of a problem involving addition or subtraction of decimal numbers is reasonable. They solve story problems involving addition or subtraction of decimal numbers.
UNIT 11: Multiplication with Decimals
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UNIT 12: Division with Decimals
Students practice solving multiplication and division problems that involve decimal numbers and verify that the calculated results are reasonable.
UNIT 13: Points on a Coordinate Plane
Students learn to identify and graph ordered pairs in all quadrants of a coordinate plane. They learn to use the situation presented in a problem to describe the meaning of each coordinate of an ordered pair displayed on a graph. They practice graphing and writing equations to solve problems that involve a linear function.
UNIT 14: Measurement and Unit Conversions
Students learn to solve a multistep real-world problem, using conversion of measurement units within the metric measurement system, convert like measurement units within the metric measurement system, identify or use the relationship between millimeters, centimeters, and/or meters to measure or compare objects. They will solve a multistep real-world problem using conversions involving distances, time, liquid volume, masses of objects, or money, convert like measurement units within the U.S. customary measurement system, identify or estimate equivalent measures within the U.S. customary system or metric measurement system involving length, weight, volume, or temperature. They will solve a multistep real-world problem, using conversion of measurement units within the U.S. customary measurement system, recall a measurement fact related to U.S. customary units of distance or length, limited to whole numbers using inches, feet, and/or yards. They will solve a practical problems involving length, mass, or liquid volume, using metric units and recall a measurement fact related to metric units of distance or length, limited to whole numbers using centimeters, meters, and/or kilometers.
Students learn to solve a multistep real-world problem, using conversion of measurement units within the metric measurement system, convert like measurement units within the metric measurement system, identify or use the relationship between millimeters, centimeters, and/or meters to measure or compare objects. They will solve a multistep real-world problem using conversions involving distances, time, liquid volume, masses of objects, or money, convert like measurement units within the U.S. customary measurement system, identify or estimate equivalent measures within the U.S. customary system or metric measurement system involving length, weight, volume, or temperature. They will solve a multistep real-world problem, using conversion of measurement units within the U.S. customary measurement system, recall a measurement fact related to U.S. customary units of distance or length, limited to whole numbers using inches, feet, and/or yards. They will solve a practical problems involving length, mass, or liquid volume, using metric units and recall a measurement fact related to metric units of distance or length, limited to whole numbers using centimeters, meters, and/or kilometers.
UNIT 15: Classification of Two-Dimensional Figures
Students learn to identify a right, acute, or obtuse angle, describe the attributes of a category of two-dimensional figures including triangles, quadrilaterals, rectangles, squares, parallelograms, trapezoids, rhombuses, pentagons, and/or hexagons. They will classify triangles as equilateral, isosceles, scalene, right, acute, obtuse, quadrilaterals, as rectangles, squares, parallelograms, trapezoids or rhombuses. Students will graph points and ordered pairs on the coordinate plane using data from a function table or input/output table and graph a points on the x and y axes.