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Learning Math/CS/Engineering Design with Robotics
Chapter Overview
Chapter 1: Sample Chapter 1
Big Ideas
Test
Chapter Overview
Test
Content Connection
Test
Vocabulary
  • Sample
  • pattern, identity property of addition, commutative property of addition

  • even, odd, addend, sum, doubles, make a 10, difference, related facts, array
  • multiplication, equal groups, factor, product, array, commutative property of multiplication, identity property of multiplication, zero property of multiplication

Standards
CCSS Math Standards:
  • 2.NBT.B.7 Add and subtract within $1000$, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method. Understand that in adding or subtracting three-digit numbers, one adds or subtracts hundreds and hundreds, tens and tens, ones and ones; and sometimes it is necessary to compose or decompose tens or hundreds.
  • 2.NBT.B.9 Explain why addition and subtraction strategies work, using place value and the properties of operations.
  • 2.OA.B.2 Fluently add and subtract within $20$ using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.
  • 2.OA.C.4 Use addition to find the total number of objects arranged in rectangular arrays with up to $5$ rows and up to $5$ columns; write an equation to express the total as a sum of equal addends.
  • 3.MD.B.3 Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. Solve one- and two-step "how many more" and "how many less" problems using information presented in scaled bar graphs. For example, draw a bar graph in which each square in the bar graph might represent $5$ pets.
  • 3.NBT.A.2 Fluently add and subtract within $1000$ using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.
  • 3.OA.A.1 Interpret products of whole numbers, e.g., interpret $5\times7$ as the total number of objects in $5$ groups of $7$ objects each. For example, describe a context in which a total number of objects can be expressed as $5\times 7$.
  • 3.OA.A.3 Use multiplication and division within $100$ to solve word problems in situations involving equal groups, arrays, and measurement quantities, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem.
  • 3.OA.B.5 Apply properties of operations as strategies to multiply and divide. Examples: If $6\times 4=24$ is known, then $4\times 6 =24$ is also known. (Commutative property of multiplication.) $3\times 5\times 2$ can be found by $3\times 5 = 15$, then $15\times 2 = 30$, or by $5\times 2=10$, then $3\times 10=30$. (Associative property of multiplication.) Knowing that $8\times 5 = 40$ and $8\times 2 = 16$, one can find $8\times 7$ as $8\times (5+2)=(8\times 5)+(8\times 2)=40+16=56$. (Distributive property.)
  • 3.OA.C.7 Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division (e.g., knowing that $8\times 5 = 40$, one knows $40\div 5 = 8$) or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.
  • 3.OA.D.9 Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. For example, observe that $4$ times a number is always even, and explain why $4$ times a number can be decomposed into two equal addends.
  • K.CC.A.2 Count forward beginning from a given number within the known sequence (instead of having to begin at $1$).
  • K.CC.A.3 Write numbers from $0$ to $20$. Represent a number of objects with a written numeral $0-20$ (with $0$ representing a count of no objects).
CCSS SMP Standards:
  • SMP.1 Make sense of problems and persevere in solving them
  • SMP.3 Construct viable arguments and critique the reasoning of others
  • SMP.6 Attend to precision
  • SMP.8 Look for and express regularity in repeated reasoning