Math

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Last year, LWSD outlined new Power Standards in math to align with Washington State's GLEs and National Standards.  You'll see a curriculum that mirrors your own experiences in math as a child, including algorithms and an emphasis on calculations.  See links to various activities that will help strengthen your child's understanding of the concepts listed below.

Core Content: Addition, Subtraction, and Place Value (Numbers, Operations)

1. Students apply place value concepts to large numbers.
2. Students add and subtract multi-digit numbers efficiently and accurately.

 Performance Expectations

• Students will read, write, compare, order, and represent numbers to 10,000 using numbers, words, and symbols.
• Students will round whole numbers through 10,000 to the nearest ten, hundred, and thousand.
• Students will fluently and accurately add and subtract whole numbers using the standard regrouping algorithms.
• Students will estimate sums and differences to approximate solutions to problems and determine reasonableness of answers.
• Students will solve single- and multi-step word problems involving addition and subtraction of whole numbers and verify the solutions.

Core Content: Concepts of Multiplication and Division (Operations, Algebra)

1. Students represent and explain multiplication and division strategies.
2. Students apply and explain strategies to compute multiplication facts to 10 x 10 and the related division facts, including use of their inverse relationships.

Performance Expectations:

• Students will represent multiplication as repeated addition, arrays, counting by multiples, and equal jumps on the number line, and connect each representation to the related equation.
• Students will represent division as equal sharing, repeated subtraction, equal jumps on the number line, and formation of equal groups of objects, and connect each representation to the related equation.
• Students will determine products, quotients, and missing factors using the inverse relationship between multiplication and division.
• Students will apply and explain strategies to compute multiplication facts to 10 x 10 and the related division facts.
• Students will quickly recall those multiplication facts for which one factor is 1, 2, 5, or 10 and the related division facts.
• Students will solve and create word problems that match multiplication or division equations.
• Students will multiply any number from 11 through 19 by a single-digit number using the distributive property and place value concepts.
• Students will solve single- and multi-step word problems involving multiplication and division and verify the solutions.

Core Content: Fraction Concepts (Numbers, Algebra)

1. Students compare, order, and represent fractions in different ways.

Performance Expectations:

• Students will represent fractions that have denominators of 2, 3, 4, 5, 6, 8, 9, 10, and 12 as parts of a whole, parts of a set, and points on the number line.
• Students will compare and order fractions that have denominators of 2, 3, 4, 5, 6, 8, 10, and 12.
• Students will represent and identify equivalent fractions with denominators of 2, 3, 4, 5, 6, 8, 9, 10, and 12.
• Students will solve single- and multi-step word problems involving comparison of fractions and verify the solutions.

Core Content: Geometry (Geometry, Measurement)

1. Students identify and use lines, line segments, and angles in quadrilaterals.
2. Students measure, calculate, and solve problems with perimeters of quadrilaterals.

Performance Expectations

• Students will identify and sketch parallel, intersecting, and perpendicular lines and line segments.
• Students will identify and sketch right angles.
• Students will identify and describe special types of quadrilaterals.
• Students will measure and calculate perimeters of quadrilaterals.
• Students will solve single- and multi-step word problems involving perimeters and quadrilaterals and verify the solutions.

Additional Content (Algebra, Measurement, Data/Statistics)

1. Students determine equivalency of two expressions.
2. Students estimate, measure, and compare weight, mass, and capacity using U.S. customary and metric units.
3. Students organize and interpret data using a variety of graphs.

Performance Expectations

• Students will determine whether two expression are equal and use “=” to denote equality.
• Students will measure temperatures in degrees Fahrenheit and degrees Celsius using a thermometer.
• Students will estimate, measure, and compare weight and mass using appropriate-sized U.S. customary and metric units.
• Students will estimate, measure, and compare capacity using appropriate-sized U.S. customary and metric units.
• Students will construct and analyze pictographs, frequency tables, line plots, and bar graphs.

Core Processes: Reasoning, Problem Solving, and Communication

1. Students solve problems with core mathematical concepts, make strategic decisions that lead to reasonable solutions, and explain the reasoning behind those decisions.
2. Students make generalizations about processes and apply those generalizations to similar problems.

Performance Expectations

• Students will determine the question(s) to be answered given a problem situation.
• Students will identify information that is given in a problem and decide whether it is necessary or unnecessary to the solution of the problem.
• Students will identify missing information that is needed to solve a problem.
• Students will determine whether a problem to be solved is similar to previously solved problems, and identify possible strategies for solving the problem.
• Students will select and use one or more appropriate strategies to solve a problem.
• Students will represent a problem situation using words, numbers, pictures, physical objects, or symbols.
• Students will explain why a specific problem-solving strategy or procedure was used to determine a solution.
• Students will analyze and evaluate whether a solution is reasonable, is mathematically correct, and answers the question.
• Students will summarize mathematical information, draw conclusions, and explain reasoning.
• Students will make and test conjectures based on data (or information) collected from explorations and experiments.

Power Standards 2009 (PDF 18 KB)

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