In this unit, students will learn to calculate areas of polygons by decomposing, rearranging, enclosing, and composing shapes. They will also represent polyhedra with nets and calculate their surface areas.
In this unit, students will be introduced to the concept of ratios. They will represent ratios using double number lines, tables, and tape diagrams, and use ratio reasoning to solve problems.
In this unit, students will extend what they learned about dividing whole numbers to divide fractions by fractions. They will answer questions like “How many groups?” or “How many in 1 group?” They will use a variety of strategies, such as making tape diagrams, finding common denominators, and rewriting equivalent multiplication problems using the reciprocal. Students develop and use a variety of strategies for adding, subtracting, multiplying, and dividing decimals.
In this unit, students will build on their understanding of the equal sign and use it as a representation of equality (or balance), at which point they can perform balanced operations to solve for unknown values and relate equivalent expressions, including those involving two variables or exponents.
In this unit, students will explore proportional relationships in a variety of real-world contexts and make comparisons using representations such as tables, equations, and graphs.
In this unit, students will apply what they have learned about proportional relationships to solve problems involving percent change and fractional quantities.
In this unit, students will explore positive and negative numbers in several ways: on a number line, represented as inequalities, and on the coordinate plane. They compare these numbers, as well as their absolute values.
In this unit, students will visualize data using dot plots and histograms, before calculating measures of center-mean and median-and measures of variability -mean absolute deviation (MAD), range, and interquartile range (IQR). They will construct box plots in addition to interpreting these measures in context, relating the shape and features of a distribution to the best choice of measures.