Students will develop and apply rational number sense to understand and solve real-world problems. Students will understand that the context of a given situation determines the most appropriate form to represent a rational number.
7.2A Extend previous knowledge of sets and subsets using a visual representation to describe relationships between sets of rational numbers.
7.3B Apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.
Non-Priority standards: 7.3A
Students will learn to translate written words into mathematical statements. Students will use these algebraic representations to communicate and generalize patterns in given real-world situations.
7.10A Write one-variable, two-step equations and inequalities to represent constraints or conditions within problems.
7.11A Model and solve one-variable, two-step equations and inequalities.
7.11B Determine if the given value(s) make(s) one-variable, two-step equations and inequalities true.
Non-Priority standards: 7.10B, 7.10C, 7.11C
Students will explore the characteristics of similar figures to make connections between geometry and the real world. Students will use the context of a given situation to determine the most appropriate unit of measure.
7.4B Calculate unit rates from rates in mathematical and real-world problems.
7.4D Solve problems involving ratios, rates, and percents, including multi-step problems involving percent increase and percent decrease, and financial literacy problems.
7.5C Solve mathematical and real-world problems involving similar shape and scale drawings.
Non-Priority standards: 7.4E, 7.5A
Students will use proportional relationships to explain how quantities change in relation to each other given real-life situations. Students will unit rates to make comparisons and predictions. They will also represent linear relationships.
7.4A Represent constant rates of change in mathematical and real-world problems given pictorial, tabular, verbal, numeric, graphical, and algebraic representations, including d = rt.
7.7A Represent linear use relationships using verbal descriptions, tables, graphs, and equations that simplify to the form y = mx + b.
Non-Priority standards: 7.4C
Students will understand how the probability of a future event occurring can be characterized along a continuum from impossible to certain. Students will use proportional reasoning to investigate chance and predict future outcomes based on probabilities.
7.6C Make predictions and determine solutions using experimental data for simple and compound events.
7.6H Solve problems using qualitative and quantitative predictions and comparisons from simple experiments.
7.6I Determine experimental and theoretical probabilities related to simple and compound events using data and sample spaces.
Non-Priority standards: 7.6E
Students will understand that real-world and geometric structures are composed of shapes and spaces with specific properties. They will learn how the area of a geometric figure can be found by composing and decomposing it into other shapes and determining how many square units will cover the figure.
7.9B Determine the circumference and area of circles.
7.9C Determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles.
7.9D Solve problems involving the lateral and total surface area of a rectangular prism, rectangular pyramid, triangular prism, and triangular pyramid by determining the area of the shape's net.
7.3B Apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.
Students will use spatial sense as ways to visualize, interpret, and reflect on our physical environment. They will learn the formulas that generalize a relationship between a three-dimensional figure and its two-dimensional component.
7.9A Solve problems involving the volume of rectangular prisms, triangular prisms, rectangular pyramids, and triangular pyramids.
7.3B Apply and extend previous understandings of operations to solve problems using addition, subtraction, multiplication, and division of rational numbers.
Non-Priority standards: 7.8A, 7.8B
Students will learn how data is collected, organized, and displayed influences interpretation. Students will analyze data and discover how it leads to making better decisions in real-life situations.
7.6G Solve problems using data represented in bar graphs, dot plots, and circle graphs, including part-to-whole and part-to-part comparisons and equivalents.
7.12A Compare two groups of numeric data using comparative dot plots or box plots by comparing their shapes, centers, and spreads.
Non-Priority standards: 7.6F, 7.12B, 7.12C
Students will learn how our financial choices have short-term and long-term consequences. Students will gain an understanding of how to be financially responsible.
7.13A Calculate the sales tax for a given purchase and calculate income tax for earned wages.
7.13C Create and organize a financial assets and liabilities record and construct a net worth statement.
7.13F Analyze and compare monetary incentives, including sales, rebates, and coupons.
Non-Priority standards: 7.13B, 7.13D, 7.13E
Students will review all the priority standards and use hands-on resource materials from the Regional Service Centers.
Students will be able to solve multi-step equations that include the distributive property and combining like terms with and without calculators.
Students will use proportional relationships to explain how quantities change in relation to each other given real-life situations. They will also represent linear relationships verbally, tabularly, graphically, and in equations.
7.1 Mathematical process standards. The student uses mathematical processes to acquire and demonstrate mathematical understanding.
Tools to Know
7.1A -apply mathematics to problems arising in everyday life, society, and the workplace
7.1B -use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution
7.1C -select tools, including real objects, manipulatives, paper and pencil, and technology as appropriate, and techniques, including mental math, estimation, and number sense as appropriate, to solve problem
Ways to Show
7.1D -communicate mathematical ideas, reasoning, and their implications using multiple representations, including symbols, diagrams, graphs, and language as appropriate
7.1E -create and use representations to organize, record, and communicate mathematical ideas
7.1F -analyze mathematical relationships to connect and communicate mathematical ideas
7.1G -display, explain, and justify mathematical ideas and arguments using precise mathematical language in written or oral communication