Third Grade - MATH
5: Math
Unit 6: Fractions
Lesson 2
Naming Fractions
The lesson asks students to compare a half and a fourth of a pizza (Questions to Explore / QUESTION #2), prompting a direct comparison of two fractions. Multiple activities require students to match written fractions to visual models (Matching Fractions, Naming Fractions, Colorful Circles), so students name fractions from shaded diagrams and can use those visuals to reason about relative sizes. The materials include examples of equivalent fractions shown both numerically and with models (e.g., 2/3 and 4/6), which supports reasoning about fraction size using visual models.
Lesson 3
Fraction Parts
Students are taught the rules for comparing fractions with the same numerator or the same denominator in the Facts and Definitions and Skills sections (e.g., "If the denominators are the same..." and "If the numerators are the same..."). Students practice recording comparisons with symbols and placing the correct symbol between fractions (the text gives the example 1/3 < 2/3 and lists paired comparison problems such as 1/2 and 1/3, 3/8 and 2/8). Students use visual models to justify comparisons through fraction strips, coloring circle activities, an interactive fraction tool, and games that specifically allow selecting "same denominator" or "same numerator."
Lesson 4
More Fraction Exploration
Students arrange unit fraction strips into a staircase and answer direct comparison questions such as "Which is larger, one-fifth or one-sixth?" and "Which is smaller, one-eighth or one-ninth?" Students use visual models throughout (geoboard, fraction strips, pizza interactive, and fraction chart) to show fractions, combine parts to make wholes (e.g., 3/6 = 1/2), and to decide whether fractions are more than, equal to, or less than one-half. The activities ask students to place fraction cards into More / One-Half / Less columns and to justify amounts by covering a whole with fraction strips during the roll-and-cover game.
Lesson 5
Fractions, Division, and Groups
Students use fraction circle pieces and pizza-sharing tasks to represent 1/2, 1/3, 1/4 and model sharing one or more pizzas (students write 1, 3, 1/3 and 2, 3, 2/3). Students partition groups of counters and tiles (e.g., divide 12 counters into 2, 3, 4, or 6 groups and name one group as 1/2, 1/3, 1/4, 1/6) and they record fractions for barnyard and tile activities (e.g., 4/30, 10/30, 6/10). The materials prompt students to notice that the numerator can stay the same while the denominator changes and explicitly remind students that the denominator represents the whole when describing tile groups.
Lesson 6
Fractions on Number Lines
Students place and identify fractions on number lines by partitioning the interval from 0 to 1 and marking a/b (Activities 1 and 3), and they plot given fractions such as 1/3, 2/6, and 3/10. Students move to fractions called aloud on large number lines, which has them reason about relative positions and sizes of fractions. Students match visual models and note equivalences explicitly (the "Think About It!" noting 4/8 and 5/10 are the same and the More Fraction Matching activity showing pairs like 1/2 and 6/8).
Lesson 7
Equivalent Fractions
Students place fraction strips and fraction circles on top of one another and write equalities such as 1/2 = 2/4 on the whiteboard to show two fractions are the same size. Students color equivalent fractions on a laminated fraction chart (e.g., 2/3, 4/6, 6/9, 8/12) and complete worksheets that fill in missing numbers for equal fractions. Students draw three identical rectangles (same-size wholes) and shade halves, fourths, and eighths to show 1/2 = 2/4 = 4/8 using visual models.
Lesson 8
Fractions in Our World
Students write and convert times to fractions (e.g., 10 minutes = 2/12 of an hour, 45 minutes = 9/12 = 3/4, 20 minutes = 4/12 = 1/3), showing multiple fractions with the same denominator and equivalent fractions. Students represent money as fractions of a dollar (e.g., quarter = 1/4, half-dollar = 1/2, dime = 1/10) and identify fractional values for combinations of coins. Students create and quantify fractional parts in visual contexts (bracelet bead counts and animal shelter counts such as 14/32, 8/32, 10/32), practicing forming fractions with common numerators or denominators.
Lesson 9
Unit Test
The lesson's Skills list explicitly includes "Compare two fractions with the same numerator or the same denominator." Students are asked to compare specific fractions (for example, deciding whether 4/6 is less than or greater than 5/6 and which is greater, 1/2 or 1/3). Students place fractions on number lines and reassemble and consult a fraction chart, fraction circles, fraction strips, and fraction dominoes, providing visual models for comparing sizes.
Unit 7: Geometry
Lesson 6
Dividing Shapes
Students partition shapes into equal parts and name the unit fractions (Activity 1: geoboard work naming 1/2, 1/4, 1/8). Students shade and write non-unit fractions (Activity 2: shading one-ninth then three-ninths and writing 3/9) and identify what the numerator and denominator represent. Students use area models to find halves, thirds, and fourths of the same rectangle and are asked to explain quantities (e.g., "How do you know?"), and they answer a comparison question in the Basic Skills Review asking which is greater, 1/4 or 1/2 (1/2).
Lesson 7
Some Geometric Problem Solving
Students place pattern blocks to show that specific numbers of smaller shapes (e.g., 3 rhombuses, 6 triangles, 2 trapezoids) make one hexagon and label those parts as fractions (e.g., 1 trapezoid = 1/2, 1 rhombus = 1/3, 1 triangle = 1/6). Students partition shapes into equal-area parts and write unit and non-unit fractions for collections (e.g., 3 triangles = 3/6, 2 trapezoids = 2/2). Students use the visual block models to demonstrate equivalence (for example, placing three rhombuses over a hexagon to show equality).
Lesson 8
Unit Test
Students partition shapes into equal parts and name the parts (e.g., dividing a 6x6 square into halves and fourths, and a 2 cm by 6 cm rectangle into thirds). Students shade specified numbers of equal parts and record the fraction of the whole that is shaded (problems ask for answers such as 2/4, 2/5, 2/3). The skills list and activities ask students to express the area of each part as a unit fraction of the whole.
Unit 8: Graphing Data
Lesson 2
Pictographs
Students interpret fractional parts of scaled pictographs (e.g., recognizing that half an apple equals 5 and a quarter of a tennis ball equals 5). Students convert counts to mixed-number pictograph representations (e.g., 65 apples -> 6 1/2 apple symbols; 85 games -> 4 1/4 tennis-ball symbols). Students create and use a pictograph scale (e.g., each square or book icon represents 5 or 10 items) and work with visual fraction-like models on graphs.
Lesson 3
Bar Graphs
The Basic Skills Review #23 asks students to compare two fractions: "Which is greater, 3/8 or 6/8? (6/8)", so students practice identifying the larger of two fractions that share a denominator. The review also includes a fraction identification item, "What fraction is NOT shaded? (7/10)", which engages students with fraction parts of a whole. These items require students to interpret fractional values and choose a numerical answer.
Lesson 4
Line Plots
Students label fractional marks (1/4, 1/2, 3/4, 1 1/4, 1 1/2, etc.) on a number line and measure straw lengths to halves and quarters, then plot those fractional lengths on a line plot. Students answer a comparison question in Basic Skills Review asking which is greater, 1/4 or 1/3, and receive the answer (1/3). Students use the number-line format of line plots as a visual way to place and view fractional values.
Lesson 5
More Work With Graphing
Students complete a Basic Skills Review item that asks "Which is greater? 5/7 or 6/7" and the provided answer indicates 6/7, so students practice comparing two fractions with the same denominator. Students also answer a question identifying an unshaded fraction (3/10), showing fraction identification practice. Students are asked to answer 10 questions using line plots at a web link titled "Create Line Plots With Fractions," indicating additional practice with fractions on a number line.
Unit 9: Skills Review
Lesson 2
Reviewing Fractions
Students are asked to put fraction index cards (1/2, 1/3, 1/4) in order and explain which is largest and smallest, and to complete a "Review: Comparing Fractions" worksheet where they circle the larger fraction in each pair (pairs include examples like 2/6 vs 4/6, 5/10 vs 3/10, 2/3 vs 2/6, 2/4 vs 2/6). Students are directed to draw pictures and number lines to show fractions (e.g., draw a circle or square divided into parts and mark two-thirds on a number line) and to use the same shape when comparing fractions so they can see which is larger. In Activity 2 students color equivalent fractions on a fraction chart and are asked to draw pictures to prove equivalence, and they are told that equivalence (and by implication comparison) is valid only when the whole is the same size.
Lesson 4
Reviewing Geometry
Students answer coin-comparison questions that ask which is more (e.g., comparing one-tenth of a dollar to a nickel and comparing a half-dollar to three quarters), providing practice comparing fractions that refer to the same whole (a dollar). Students draw a 3x5 rectangle (15 cm^2) and divide it into thirds, color one-third, show two-thirds, and find alternate partitions; they also create one-fourth of a 16 cm^2 square and two-thirds of a 9 cm^2 square. These tasks require students to create and use visual fraction models and reason about equal parts of a single whole.
