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MathNumbers & CountingCounting ObjectsNumber NamesComparing NumbersNumber OperationsCounting SequenceNumbers 0-10Place Value Understanding and SystemAdd and Subtract Within 20Addition and Subtraction ConceptsAddition and Subtraction EquationsAddition and Subtraction ProblemsFoundations for MultiplicationMultiplication and Division PropertiesMultiply and Divide Within 100Multiplication and Division ProblemsFactors and MultiplesProperties of OperationsPatterns and RelationshipsGenerate and Analyze PatternsMulti-Digit ArithmeticPlace Value OperationsMulti-Digit and Decimal OperationsNumerical ExpressionsFour Operations and PatternsFour Operations Problem SolvingMeasurement & DataMeasurable AttributesMeasuring LengthsMeasure and Estimate Lengths in Standard UnitsRelate Addition and Subtraction to LengthClassifying and Counting ObjectsTime and MoneyArea Concepts and MeasurementPerimeter and Area MeasuresAngle Concepts and MeasurementTime, Volume, and MassMeasurement Unit ConversionsGeometryIdentifying ShapesShapes and AttributesShape Attributes and ReasoningShapes and CompositionClassifying 2D FiguresGeometric Figures and RelationshipsLines, Angles, and ShapesAngle, Area, and VolumeGeometric MeasurementVolume of 3D ShapesCoordinate Plane ApplicationsTransformations in the PlaneCongruence and SimilarityUnderstand congruence in terms of rigid motionsSimilarity and TransformationsProve Theorems Involving SimilarityPythagorean TheoremTrigonometry for General TrianglesMake Geometric ConstructionsProve Geometric TheoremsTheorems About CirclesFind Arc Lengths And Areas of Sectors of CirclesVolume FormulasRelationships Between Two-Dimensional and Three-Dimensional ObjectsProve Simple Geometric Theorems AlgebraicallyTranslate Between Geometric Description and Equation for Conic SectionApply Geometric Concepts in Modeling SituationsFractions & DecimalsFractions as NumbersBuilding FractionsFraction Equivalence and OrderingAdding and Subtracting FractionsMultiplying and Dividing FractionsDividing FractionsDecimal FractionsMulti-Digit Computation and FactorsAdd, Subtract, Multiply, and Divide Rational NumbersRational Number SystemIrrational Numbers and ApproximationsRatiosRatios and ProportionsProportional RelationshipsUnit RateAlgebraAlgebraic ExpressionsGenerate Equivalent ExpressionsQuantitative RelationshipsProportional Relationships and Linear EquationsEquations and InequalitiesEquation Solving and ReasoningLinear Equations and SystemsGraph Equations and InequalitiesSystems of EquationsReal-World Algebraic ProblemsQuantitative Reasoning with UnitsExpression StructureEquivalent Expression FormsRadicals and Integer ExponentsRational ExponentsRational and Irrational NumbersPolynomial OperationsPolynomial IdentitiesPolynomial Zeros and FactorsRational ExpressionsComplex Number OperationsComplex Numbers in PolynomialsComplex Numbers on PlaneStatistics & ProbabilityRepresent and Interpret DataData DistributionsStatistical VariabilityProbability ModelsCompound Event ProbabilitiesStatistical SamplingInterpret Categorical and Quantitative DataBivariate Data PatternsInterpret Linear ModelsComparing Two PopulationsRandom Processes in StatisticsIndependence and Conditional ProbabilityExpected ValuesProbability-Based Decision MakingStatistical Inference and ConclusionsFunctionsFunction Concepts and NotationDefine and Compare FunctionsInterpret Functions in ContextAnalyze Function RepresentationsModel Relationships with FunctionsIdentify Linear vs Exponential GrowthDistinguish Between Function TypesCompare Growth RatesInterpret Function ExpressionsBuild Functions from RelationshipsConstruct and Model FunctionsTransform and Combine FunctionsModel Comparison and SelectionSolve Exponential EquationsTrigonometryTrigonometric Ratios Involving Right TrianglesTrigonometric Functions and Unit CircleModel with Trigonometric FunctionsTrigonometric IdentitiesVectors & MatricesIntroduction to Vectors and MatricesVector QuantitiesVector OperationsMatrix OperationsCalculusLimits and ContinuityDerivative Concepts and NotationDerivative Rules and TechniquesApplications of DerivativesOptimization ProblemsRelated RatesCurve Sketching and AnalysisIntegration Concepts and NotationAntiderivatives and Indefinite IntegralsDefinite Integrals and AreaFundamental Theorem of CalculusIntegration TechniquesApplications of IntegrationDifferential EquationsSequences and SeriesParametric and Polar FunctionsVector-Valued Functions

Numbers in Action

A 12-session math intervention unit for Tier 3 students, focusing on place value up to the hundreds, addition and subtraction within 20, and single and two-step word problems.

Kkurtzm
Numbers in Action Unit

A comprehensive 12-session unit covering place value, basic operations within 20, and word problem strategies for students with learning and intellectual disabilities.

Numbers in Action

A 12-session math intervention unit for Tier 3 students, focusing on place value up to the hundreds, addition and subtraction within 20, and single and two-step word problems.

Kkurtzm

10 - 4 = ___


Adding Bigger Numbers: Within 20

Count On

Start with the bigger number and count up.

Make a Ten

Break apart one number to make a ten.

Doubles

Use facts you know like 6 + 6 = 12.


Subtracting Bigger Numbers: Within 20

Count Back

Think Addition

Number Line


Add & Subtract Challenge!

12 + 5 = ___

18 - 6 = ___

7 + 9 = ___

14 - 8 = ___


Math Stories: What Are Word Problems?

They tell a story with numbers.

Find what the story wants us to do!

Look for clues: Add or Subtract?

"Math is just a story told with numbers!"


Adding Stories (No Regrouping)

Sara has 23 apples. Tom gives her 15 more apples. How many apples does Sara have now?

1. Read story

2. Find numbers (23, 15)

3. Find the question

4. Operation: ADD

23
+15

38


Your Turn! (No Regrouping)

Ben had 31 stickers. He bought 12 more. How many stickers does Ben have in all?

Solve Here


Sometimes Numbers Need to Share!

When the ones column is 10 or more, we must regroup.

10 Ones = 1 Ten!

27 + 15 = ?

T

O

1

2

7

+ 1

5

4

2


Practice Regrouping!

Lisa had 38 candies. Her friend gave her 24 more. How many candies does Lisa have now?

Use your strategy...


Subtracting Stories (No Regrouping)

Look for these words:

Left Difference Fewer Away

Example: 45 - 12

45
-12

33


Try This One!

Max had 58 marbles. He gave 25 marbles to his brother. How many marbles does Max have now?

Think: What operation should you use?


When the Ones Need Help!

If there aren't enough ones to take away, we must regroup from the tens!

1. Cross out the Ten

2. Add 10 to the Ones

3. Subtract!

42 - 17 = ?

3  12 42
-17


25


Practice Regrouping Subtraction!

There were 53 cookies. The students ate 28 of them. How many cookies are left?

Show Your Work

Final Answer __________


Double the Fun!

Some stories need TWO steps to solve.

1 First Step

2 Second Step


Two-Step Example

Sarah had 10 balloons. She bought 5 more, then 3 popped. How many now?

Step 1: Get More

10 + 5 = 15

Step 2: Take Away

15 - 3 = 12

Final Answer: 12 Balloons


Your Turn! (Two Steps!)

Tom had 20 pencils. He gave 7 to a friend, and then his mom bought him 5 new ones. How many pencils now?

Step 1

Step 2

Week 3: Advanced Problems & Assessment

Session 10: Two-Step Word Problems (Slides 25-27)

Teacher: "You've become master problem solvers! Now we're going to tackle a super challenge: two-step word problems! These stories need two steps to solve." [Show Slide 25]

Teacher: "Look at Sarah's balloons. She had 10, bought 5 more... then 3 popped. First, find how many she had. Then, subtract the popped ones!" [Show Slide 26]


Sessions 11-12: Assessment

Teacher: "Today is our big day to show off everything we've learned! Remember to read each question carefully. You've worked so hard and learned so much. Do your best!"

Instructional Best Practices

  • Always use concrete manipulatives before moving to abstract symbols.
  • Repeat keywords for operations (e.g., "in all" = "add").
  • Provide immediate corrective feedback during practice.
  • Encourage students to "think aloud" while solving problems.
  • 1. 100
  • 2. 200 + 30 + 8
  • 3. 15
  • 4. 7
  • 5. 35 + 18 = 53 stickers
  • 6. 42 - 17 = 25 birds
  • Numbers in Action Test

    • 1. 7 tens (70)
    • 2. 400 + 9
    • 3. 15
    • 4. 9
    • 5. 24 + 13 = 37 apples
    • 6. 56 - 29 = 27 cookies
    • 7. (18+12=30) → (30-5) = 25 stickers

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