Math 7 Year-At-A-Glance
Gap Work: Integers
(From Unit 6)
In this unit, students will develop a deep understanding of how to perform all four operations—addition, subtraction, multiplication, and division—with integers and rational numbers. Through structured lessons and real-world problem-solving, students will explore patterns, properties, and relationships between numbers, laying a strong foundation for algebraic thinking.
Unit 2: Solve Problems Involving Geometry
In Unit 2, students will develop their understanding of geometric relationships and measurement. They will learn how to determine actual measurements from scale drawings and explore the specific conditions that result in the formation of a unique triangle. Students will apply their knowledge of angle relationships—such as complementary, supplementary, vertical, and adjacent angles—to find unknown angle measures. The unit also focuses on three-dimensional geometry, where students will calculate the surface area and volume of right prisms and right pyramids. Additionally, students will solve problems involving the circumference and area of circles, deepening their ability to apply formulas in real-world and mathematical contexts.
Unit 3: Proportional Relationships
Unit 3 focuses on proportional relationships, teaching students to represent these relationships using tables, graphs, and equations. Students will learn to determine the constant of proportionality and apply proportional reasoning to solve both single-step and multi-step problems. The unit also emphasizes recognizing graphs of proportional relationships and introduces the concept of slope, helping students understand the unit rate informally as a measure of the line's steepness. Additionally, students will develop the critical skill of distinguishing proportional relationships from other types of relationships. This comprehensive approach ensures students gain a thorough understanding of proportional relationships and their applications in various mathematical contexts.
Unit 4: Solve Problems Involving Percentages
This unit develops students’ understanding of percents as proportional relationships and equips them with tools to solve a wide range of real-world and mathematical percent problems. Students will explore how the percent equation represents a proportion and use it to find the part, whole, or percent. The unit emphasizes problem-solving strategies and conceptual understanding through applications such as percent increase and decrease, markups and markdowns, interest, tax, tip, commission, discount, and percent error.
Unit 5: Sampling and Statistics
Unit 5 focuses on data analysis and statistics, teaching students to represent and interpret data using various measures and visual tools. Students will learn to calculate and apply measures of central tendency (mean, median, and mode) and measures of variability (range, interquartile range, and mean absolute deviation). The unit emphasizes creating and interpreting visual representations of data, including stem-and-leaf plots and histograms. Students will develop the critical skill of choosing appropriate statistical measures and graphical representations for different types of data sets. Additionally, students will learn to analyze data distributions and draw meaningful conclusions from their analyses. This comprehensive approach ensures students gain a thorough understanding of basic statistical concepts and their applications in various real-world contexts.
Unit 6: Solve Problems Involving Operations
with Integers and Rational Numbers
In this unit, students will deepen their understanding of rational numbers, their decimal representations, and the properties of exponents. They will learn to convert fractions into decimals and determine whether they are terminating or nonterminating, as well as apply the four operations (addition, subtraction, multiplication, and division) to all rational numbers. The unit will then expand into exponential properties including zero and negative exponents, product and quotient of powers, and power of a power rules. Finally, students will apply their knowledge of coordinate geometry to find distances between points, and calculate the perimeter and area of polygons using ordered pairs on the coordinate plane.
Unit 7: Work with Linear Expressions
Unit 7 focuses on algebraic expressions, teaching students to simplify, factor, and apply the distributive property to rewrite and solve expressions. Students will learn to factor common terms (using the GCF) and use multiple strategies to break down expressions into products of factors. The unit emphasizes understanding how to manipulate expressions to prepare for solving equations and inequalities in future units. Students will develop the critical skill of recognizing equivalent expressions and applying properties of operations to simplify and factor expressions accurately. This comprehensive approach ensures students gain a thorough understanding of expressions, combining like terms, distributing, and factoring and build a strong foundation for advanced algebraic concepts such as equations and inequalities.
Unit 8: Solve Problems Using Equations and Inequalities
In this unit, students will learn how to represent real-world and mathematical situations using algebraic expressions, equations, and inequalities. They will develop strategies to evaluate and simplify expressions and solve multi-step equations and inequalities that include rational numbers. Students will explore how these algebraic tools can help describe patterns, solve problems, and make decisions in everyday life.
Unit 9: Probability
Unit 9 begins with dimensional analysis (Unit 8 Lesson 7), teaching students how to perform unit conversions using conversion factors. It then transitions into probability, exploring simple probability for single events, compound probability for multiple events, and the concept of sample space - the set of all possible outcomes in a probability experiment. Students will learn to calculate probabilities, understand probability rules, and apply these concepts to real-world scenarios. The unit aims to develop students' analytical skills through various problem-solving exercises, connecting mathematical theory to practical applications.
Please reach out if you would like specific information regarding a lesson or unit.
My email is: tepps@greenville.k12.sc.us