8th grade Math Guide

Category

ACT Readiness Standards Utah Core State Standards

Geometry (G) Questions in this category test

G 203. Perform common

2.MD.7. Tell and write time from analog and digital clocks to the nearest five minutes, using a.m. and p.m. 2.MD.8. Solve word problems involving dollar bills, quarters, dimes, nickels, and pennies, using $ and ₵ symbols appropriately. For example, if you have 2 dimes and 3 pennies, how many cents do you have? 3.MD.1. Tell and write time to the nearest minute and measure time intervals in minutes. Solve word problems involving addition and subtraction time intervals in minutes, for example, by representing the problem on a number line diagram. 4.MD.1. Know relative sizes of measurement units within each system of units (standard and metric), including kilometers, meters, and centimeters; liters and milliliters; kilograms and grams; pounds and ounces; hours, minutes, and seconds. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. For example, know that one foot is 12 times as long as one inch. Express the length of a four-foot snake as 48 inches. Know that one meter is 100 times as long as one centimeter. Generate a conversion table for feet and inches listing the number pairs (1, 12), (2, 24), (3, 36)… 4.MD.2. Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money 5.MD.1. Convert among different-sized standard measurement units within a given measurement system (for example, convert 5 cm to 0.05 m) ; use these conversions in solving multi-step, real-world problems. 4.G.1. Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. 4.G.2. Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. SMI.G.GPE.5. Prove the slope criteria for parallel and perpendicular lines; use the to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a give point). SMII.G.CO.11. Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals

conversions of money and of length, weight, mass, and time within a measurement system (e.g., dollars to dimes, inched to feet, and hours to minutes)

students’ knowledge of shapes and solids, such as congruence and similarity relationships or surface area and volume measurements, understanding composition of objects, solving for missing values, and using trigonometric

ratios and equations.

G 301. Exhibit some knowledge of the angles associated with parallel lines

45