Chapter 7

Decimals

4th Grade: Chapter 7 Outline

Week 16- Week 17

Essential Questions:

  • How can I learn to show amounts that are parts of a whole using decimals?
  • How can I use a decimal point to separate the whole number part and the fractional part?

Content:

Students will know and understand:

    • Tenth
    • Decimal form
    • Decimal point
    • Expanded form
    • Hundredth

Skills:

Students Will:

    • Read and write tenths in decimal and fractional forms.
    • Represent and interpret tenths models.
    • Read and write hundredths in decimal and fractional forms.
    • Represent and interpret hundredths models.
    • Compare and order decimals.
    • Complete number patterns.
    • Round decimals to the nearest whole number or tenth.
    • Express a fraction as a decimal and a decimal as a fraction.

Assessment

Chapter 7 Assessment: Decimals

Formative Test: Common

Upon completion of Unit 7:

  • 4.OA.A.1. Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 Ă— 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
  • 4.OA.A.3. Solve multistep word problems posed with whole numbers and having whole-number answers using the four operations, including problems in which remainders must be interpreted. Represent these problems using equations with a letter standing for the unknown quantity. Assess the reasonableness of answers using mental computation and estimation strategies including rounding.
  • 4.NBT.A.1. Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.
  • 4.NBT.A.2. Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
  • 4.NF.C.5. Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100.
  • 4.NF.C.6. Use decimal notation for fractions with denominators 10 or 100
  • 4.NF.C.7. Compare two decimals to hundredths by reasoning about their size. Recognize that comparisons are valid only when the two decimals refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual model.
  • 4.MD.A.1. Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. 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.
  • 4.MD.A.2. Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.
  • MP.1. Make sense of problems and persevere in solving them.
  • MP.2. Reason abstractly and quantitatively.
  • MP.3. Construct viable arguments and critique the reasoning of others.
  • MP.4. Model with mathematics.
  • MP.5. Use appropriate tools strategically.
  • MP.6. Attend to precision.
  • MP.7. Look for and make use of structure.
  • MP.8. Look for and express regularity in repeated reasoning.