Description of Unit Overview for the year
FIRST SEMESTER
Unit 1: Exploring Real-life Phenomena through Statistics
Expected Timeframe (3 weeks) In this unit, students will be introduced to the study of statistics by experiencing how to design simple experiments and collect data. Students begin with learning what constitutes a statistical question. Students will have the opportunity to collect, analyze and display data through a number of graphical representations. Students will value how statistics affect daily life and the importance of being able to interpret how math represents world events by the end of this unit. Unit 2: Making Relevant Connections through Number System Fluency Expected Timeframe: (4 weeks) Building on student knowledge and understanding of whole numbers and fractions from elementary school, students will begin working with number relationships to deepen their connection to fractions. Students will continue computation with four operations with both fractions and decimals using a variety of strategies. Unit 3: Investigating Rate, Ratio, and Proportional Reasoning Expected Timeframe: (4 weeks) In this unit, students use computational skills (focusing on fractions) to solve problems in context. Students make connections to the classroom beyond the school day when they explore unit rate, ratios, and calculate percentages using proportional reasoning. Unit 4: Building Conceptual Understanding of Expressions Expected Timeframe: (5 weeks) In this unit, students begin a more formal study of Algebra as they move from arithmetic experiences to algebraic representations. Students learn to translate verbal phrases and numeric situations into algebraic expressions, understand like terms and work with exponential notation. |
SECOND SEMESTERUnit 5: Exploring Real-life Phenomena through One-Step Equations and Inequalities
Expected Timeframe: (4 weeks) In this unit, students will explore one-step equations and inequalities. Students will building their problem-solving stamina. Students demonstrate their ability to solve equivalent expressions and possible solutions for inequalities with non-negative numbers and solutions. Unit 6: Exploring Area and Volume Expected Timeframe: (4 weeks) In this unit, students extend their work with area and volume from simple figures in elementary school to composite figures, including those with sides of fractional lengths. These figures will be composed and decomposed into triangles and rectangles in order to compute their areas. Nets of solid figures allow students to calculate the surface area of three-dimensional figures. Unit 7: Rational Explorations: Numbers and their Opposites Expected Timeframe: (3-5 weeks) The importance of zero is emphasized in this exploration of numbers. Students will be introduced to numbers less than zero and use zero to identify a number and its opposite. The number line will aid students in comparing and ordering fractions, decimals and integers. Students will focus on absolute value as the distance from zero to calculate distance in the coordinate plane. Unit 8: Graphing Rational Numbers Expected Timeframe: (3 weeks) This unit extends student understanding of number lines into the four quadrants of the coordinate plane. Students will draw polygons in the coordinate plane by connecting points and calculate side lengths by analyzing the distance between those points. Students will graph when linking ratio tables and points in Quadrant I of the coordinate plane. |