Math- Fourth 9 weeks

Overview

Decimals

Data Analysis

Measurement

Standards

DECIMALS

4.NS.6 Write tenths and hundredths in decimal and fraction notations. Use words, models, standard form and expanded form to represent decimal numbers to hundredths. Know the fraction and decimal equivalents for halves and fourths (e.g., 1/2 = 0.5 = 0.50, 7/4 = 1 3/4 = 1.75).

4.NS.7 Compare two decimals to hundredths by reasoning about their size based on the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions (e.g., by using a visual model).

DATA ANALYSIS

4.DA.1 Formulate questions that can be addressed with data. Use observations, surveys, and experiments to collect, represent, and interpret the data using tables (including frequency tables), line plots, and bar graphs.

4.DA.2 Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using data displayed in line plots. 4

.DA.3 Interpret data displayed in a circle graph.

MEASUREMENT

4.M.1 Measure length to the nearest quarter-inch, eighth-inch, and millimeter.

4.M.2 Know relative sizes of measurement units within one system of units, including km, m, cm; kg, g; lb, oz; l, ml; hr, min, sec. Express measurements in a larger unit in terms of a smaller unit within a single system of measurement. Record measurement equivalents in a two-column table.

4.M.3 Use the four operations to solve real-world problems involving distances, intervals of time, volumes, masses of objects, and money. Include addition and subtraction problems involving simple fractions and problems that require expressing measurements given in a larger unit in terms of a smaller unit.

4.M.4 Apply the area and perimeter formulas for rectangles to solve real-world problems and other mathematical problems. Recognize area as additive and find the area of complex shapes composed of rectangles by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts; apply this technique to solve real-world problems and other mathematical problems.

4.M.5 Understand that an angle is measured with reference to a circle, with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. Understand an angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure other angles. Understand an angle that turns through n one-degree angles is said to have an angle measure of n degrees.

4.M.6 Measure angles in whole-number degrees using appropriate tools. Sketch angles of specified measure.

Student Resources

Boom Cards - www.boomlearning.com

IXL - https://www.ixl.com/

Generation Genius - https://www.generationgenius.com/

Boddle- https://www.boddlelearning.com/

Student Objectives: "I Can"

Decimals-

I can write tenths and hundredths as fractions and decimals.

I can show decimals to the hundredths place in word form, expanded form, and standard form.

I can use models to represent decimals to the hundredths.

I can recall fraction and decimal equivalents for halves and fourths.

I can compare two decimals to the hundredths place by reasoning about their size based on same whole.

I can compare two decimals using <, >, and =, and can justify my comparison.

Data Analysis-

I can create questions that can be answered using data.

I can collect data using surveys, experiments and observations.

I can use line plots, data tables and bar graphs to represent and interpret data I have collected.

I can make a line plot that displays a data set in fractions of a unit.

I can use line plots to solve problems that involve adding and subtracting fractions.

I can interpret the data that is displayed on a circle graph.

Measurement-

I can measure length to the nearest quarter and eighth of an inch.

I can measure length to the nearest millimeter.

I can identify relative sizes of measurements within one system of units.

I can identify the relative size of measure of km, m, cm; kg, g; lb, oz; l, ml; hr, min, sec.

I can express measurements in a larger unit in terms of a smaller unit within the same system of measurement.

I can record equivalent measurements in a two-column table.

I can use the four operations to solve real-world problems that involve distances.

I can use the four operations to solve real-world problems that involve time intervals.

I can use the four operations to solve real world problems that involve volume.

I can use the four operations to solve real-world problems that involve money.

I can solve real-world problems that involve adding and subtracting simple fractions.

I can solve real-world problems that require converting from one unit of measure to another.

I can solve real-world problems by applying the area and perimeter formulas for rectangles.

I can explain that the area of a rectangle is additive.

I can find the area of complex shapes by decomposing them into

smaller rectangles, finding their area, and then adding them back together to solve real- real world problems.

I can explain how angles are measured in reference to a circle, with the endpoint of the rays being at the center of the circle.

I can describe one degree as the fraction 1/360 of a circle.

I can explain the connection between degrees and angle measures.

I can use protractors to help me accurately measure angles.

I can draw angles with specific measures.

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