Alaska Mathematics Standards Grade 7 Grade Level/Course 7 Domain Ratios and Proportional Relationships Cluster Analyze proportional relationships and use them to solve real-world and mathematical problems. Standard 7.RP.1 Compute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units; For example, if a person walks 1/2 mile in each 1/4 hour, compute the unit rate as the complex fraction 1/2/1/4 miles per hour, equivalently 2 miles per hour or apply a given scale factor to find missing dimensions of similar figures. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Compute unit rates associated with ratios of fractions in like or different units.
Alaska Mathematics Standards Grade 7 Grade Level/Course 7 Domain The Number System Cluster Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. Standard 7.NS.3 Solve real-world and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.); For example, use models, explanations, number lines, real life situations, describing or illustrating the effect of arithmetic operations on rational numbers (fractions, decimals). Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Add rational numbers. Subtract rational numbers. Multiply rational numbers. Divide rational numbers. Solve real-world mathematical problem by adding, subtracting, multiplying, and dividing rational numbers, including complex fractions.
Alaska Mathematics Standards Grade 7 Grade Level/Course 7 Domain Expressions and Equations Cluster Use properties of operations to generate equivalent expressions. Standard 7.EE.1 Apply properties of operations as strategies to add, subtract, factor, expand and simplify linear expressions with rational coefficients. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Combine like terms with rational coefficients. Factor and expand linear expressions with rational coefficients using the distributive property Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients
Alaska Mathematics Standards Grade 7 Grade Level/Course 7 Domain Expressions and Equations Cluster Use properties of operations to generate equivalent expressions. Standard 7.EE.2 Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.” Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Write equivalent expressions with fractions, decimals, percents, and integers. Rewrite an expression in an equivalent form in order to provide insight about how quantities are related in a problem context.
Alaska Mathematics Standards Grade 7 Grade Level/Course 7 Domain Geometry Cluster Draw, construct, and describe geometrical figures and describe the relationships between them. Standard 7.G.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Use ratios and proportions to create scale drawing Identify corresponding sides of scaled geometric figures Compute lengths and areas from scale drawings using strategies such as proportions. Solve problems involving scale drawings of geometric figures using scale factors. Reproduce a scale drawing that is proportional to a given geometric figure using a different scale.
Alaska Mathematics Standards Grade 7 Grade Level/Course 7 Domain Geometry Cluster Draw, construct, and describe geometrical figures and describe the relationships between them. Standard 7.G.2 Draw (freehand, with ruler and protractor, and with technology) geometric shapes including polygons and circles with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Know which conditions create unique triangles, more than one triangles, or no triangle. Analyze given conditions based on the three measures of angles or sides of a triangle to determine when there is a unique triangle, more than one triangle, or no triangle. Construct triangles from three given angle measures to determine when there is a unique triangle, more than one triangle or no triangle using appropriate tools (freehand, rulers, protractors, and technology). Construct triangles from three given side measures to determine when there is a unique triangle, more than one triangle or no triangle using appropriate tools (freehand, rulers, protractors, and technology).
Alaska Mathematics Standards Grade 7 Grade Level/Course 7 Domain Geometry Cluster Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Standard 7.G.6 Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Know the formula for area and volume and the procedure for finding surface area and when to use them in real-world and math problems for two- and objects composed of triangles quadrilaterals, polygons, cubes and right prisms. Solve real-world and math problems involving area, surface area and volume of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes and right prisms.
Alaska Mathematics Standards Grade 7 Grade Level/Course 7 Domain Statistics and Probability Cluster Use random sampling to draw inferences about a population. Standard 7.SP.2 Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to gauge the variation in estimates or predictions; For example, estimate the mean word length in a book by randomly sampling words from the book; predict the winner of a school election based on randomly sampled survey data. Gauge how far off the estimate or prediction might be. Standards of Mathematical Practice Make sense of problems and persevere to solve them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Look for and make use of structure. Look for and express regularity in repeated reasoning. Learning Targets Knowledge Reasoning Skill Products Facts and concepts we want students to know. Use what they know to reason or solve problems. Use knowledge and reasoning to act skillfully. Use knowledge, reasoning, and skills to create a concrete product. Define random sample. Identify an appropriate sample size. Analyze & interpret data from a random sample to draw inferences about a population with an unknown characteristic of interest. Generate multiple samples (or simulated samples) of the same size to determine the variation in estimates or predictions by comparing and contrasting the samples.