2024-2025 Midterm Math Study Guide PDF

Summary

This document is a study guide for a math midterm, covering topics such as coordinate geometry, decimal operations, integer operations, and fraction operations. It includes key definitions and concepts for each area.

Full Transcript

2024-2025 Midterm – Math Study Guide Coordinate Geometry and Design I can create a number line that has positive and negative numbers I can label the axis, quadrants and origin on a cartesian plane I can read and plot points on a Cartesian plane I can c...

2024-2025 Midterm – Math Study Guide Coordinate Geometry and Design I can create a number line that has positive and negative numbers I can label the axis, quadrants and origin on a cartesian plane I can read and plot points on a Cartesian plane I can create designs on a Cartesian plane using points in all quadrants I can perform a translation and reflection and label the vertices of the original and image I can perform a rotation and label the vertices of the original and image I can perform more than one transformation on a shape and label the vertices of the original and image I can determine the horizontal and vertical distance between points Key Definitions to Know: o Cartesian plane o Coordinate o X-axis o Y-axis o Horizontal o Vertical o Rotation o Reflection o Translation o Counterclockwise o Clockwise Operations on Decimal Numbers I can apply divisibility rules – 2,3,4,5,6,8,9,10. I can explain why dividing by zero is not possible. I can add and subtract decimal numbers. I can multiply decimal numbers by whole numbers. I can multiply decimal numbers by other decimals numbers. I can divide decimal numbers by whole numbers. I can divide decimal numbers by other decimal numbers. I can apply order of operation rules (BEDMAS) to simple equations using a calculator. I can estimate the sum, difference, product, and quotient of a problem using front-end rounding and relative size rounding. Key Definitions to Know: o Sum o Difference o Product o Quotient o Front-end rounding o Relative size rounding o Estimation Operations with Integers I can read integers on a number line and compare negative and positive numbers using integer chips I can add integers using integer chips and a number line. I can add integers using a number statement I can subtract integers using integer chips I can subtract integers using a number line and a number statement I can solve integer equations that have addition and subtraction I can solve word problems that involve integers Key Definitions to Know o Integer o Integer chips/tiles o Modelling o Zero Pair o Sum o Difference Fraction Operations I can identify multiples of a number as I find the Lowest Common Multiple. I can identify factors of a number when I reduce fractions to lowest terms. I can add fractions with common denominators. I can subtract fractions with common denominators. I can create equivalent fractions using common factors or common multiples. I can add fractions with unlike denominators. I can subtract fractions with unlike denominators. I can add mixed numbers. I can subtract mixed numbers. Key Definitions to Know: o Divisibility o Multiple o Factor o Equivalent fraction o Mixed number o Improper fraction o Proper fraction Probability I can find the probability of a single independent event and express it as a fraction, ratio, percent, and a decimal. I can solve probability problems involving two independent events, using tree diagrams, tables, or other graphic organizers. I can represent outcomes using a table or a tree diagram. I can write a sample space. I can identify a sample space. Key Definitions to Know o Probability o Outcome o Favorable outcomes o Possible outcomes o Independent event o Random o Tree-diagram o Sample space o Experimental probability o Theoretical probability

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