Exploring square numbers (e.g., 5x5, 6x6) through visual patterns and area models.
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Synthesizes all skills to compare decimal fractions and solve real-world context problems. Students use comparison symbols and order decimals, concluding the 'Precision Press' investigative series.
Connects fraction notation (tenths and hundredths) to decimal notation (0.1 and 0.01). Students learn to write 3/10 as 0.3 and 3/100 as 0.03, reinforcing the place value relationship between the two.
Develops the procedural fluency of adding fractions with unlike denominators (10 and 100) by converting tenths to hundredths first. Students solve problems using the common denominator method without relying solely on visual models.
Introduces addition of fractions with denominators 10 and 100 using visual models. Students shade tenths and hundredths on the same grid to understand why common denominators are necessary for addition.
Transitions from visual grid models to numerical strategies for creating equivalent fractions. Students practice multiplying the numerator and denominator of a tenth-based fraction by 10 to express it in hundredths.
Focuses on visualizing tenths and hundredths using 10x10 grids to establish the foundational equivalence that 1/10 equals 10/100. Students engage in 'Notice and Wonder' routines to compare fractional representations.
A final assessment and performance task where students present their findings from a real-world data collection project.
A design-focused lesson where students create their own line plot scenarios based on 'blueprint' specifications.
Students use deductive reasoning and clues to place missing 'X's on a line plot.
Challenges students with multi-step word problems requiring both addition and subtraction based on line plot data.
Compares two different sets of data on the same scale, using subtraction to find differences between groups.
Introduces the concept of finding the difference between specific data points, such as the 'longest minus shortest'.
Students practice adding multiple data points together to find total lengths, using information directly from the line plot.
Focuses on identifying the maximum and minimum values on a line plot and determining which measurement occurs most frequently.
Teaches students how to transform a frequency table of fractional measurements into a clear, organized line plot.
Extends precision to 1/8 inch, focusing on equivalent fractions (2/8 = 1/4) and accurately placing data points.
Introduces measurements to the nearest 1/4 inch, emphasizing the decomposition of halves into fourths on the line plot scale.
Focuses on measuring to the nearest 1/2 inch and understanding the relationship between a ruler and a line plot. Includes a 'Measuring Race' activity.
A cumulative review and performance task where students apply all fraction concepts to complete a master architectural blueprint.
Understanding multiplication of a fraction by a whole number as repeated addition of unit fractions.
Solving real-world word problems involving addition and subtraction of fractions with like denominators.
Working with fractions greater than 1, converting between improper fractions and mixed numbers using visual 'towers'.
Subtracting fractions with the same denominator, focusing on the 'taking away' and 'difference' meanings of subtraction.