Accelerated Math

Unit Overview 

Unit 1: Place Value and Decimal Fractions

Students will explore the relationships of adjacent units on the place value chart to generalize whole number algorithms to decimal fraction operations. Students will apply these new understandings as they reason about and perform decimal operations through the hundredths place.

Unit 2: Multi-Digit Whole Number and Decimal Fraction Operations

Students will apply the patterns of the base ten system to mental strategies and the multiplication and division algorithms.

Unit 3: Addition and Subtraction of Fractions

Students’ understanding of addition and subtraction of fractions extends from earlier work with fraction equivalence and decimals. The students will use the full set of fractional units.

Unit 4: Multiplication and Division of Fractions and Decimal Fractions

Students learn to multiply fractions and decimal fractions and begin working with fraction division.

Unit 5: Addition and Multiplication with Volume and Area

Students will work with two- and three-dimensional figures. Volume is introduced to students through concrete exploration of cubic units and culminates with the development of the volume formula for right rectangular prisms. Students combine prior knowledge of area with newly acquired knowledge of fraction multiplication to determine the area of rectangular figures with fractional side lengths. They then engage in hands-on construction of two-dimensional shapes, developing a foundation for classifying the shapes by reasoning about their attributes. 

Unit 6: Problem Solving with the Coordinate Plane

Students will develop a coordinate system for the first quadrant of the coordinate plane and use it to solve problems. Students use the familiar number line as an introduction to the idea of a coordinate and construct two perpendicular number lines to create a coordinate system on the plane. They see that just as points on the line can be located by their distance from 0, the plane’s coordinate system can be used to locate and plot points using two coordinates. They then use the coordinate system to explore relationships between points, ordered pairs, patterns, lines and, more abstractly, the rules that generate them. This study culminates in an exploration of the coordinate plane in real-world applications.