Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity Assessment Instructional Unit: 2nd Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies Resources/ Web links 5.3 The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy. 5.4 The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to: 5.4(A) identify prime Focus on factors. Luke made the list of numbers exponent Model using divisibility MM p.119-126 and composite Students might use real below. composite rules to identify Engaging Math Gr. 5 numbers; objects or pictorial How many numbers in Luke’s prime prime/composite. Vol. II Supporting models to identify prime pattern are prime numbers? prime factorization Engaging Math Gr. 5 and composite numbers. ELPS Strategies: Create factor trees to Vol. I p.118-121,122May do some GCF and 1C, 1E, 2E, 3E, identify prime and 125, and 129-131 LCM since no longer a 3H,4D, 4F, 5B composite. Hands on Standards TEK p. 36-37 LZ-prime or composite using area models Math Playground videoprime numbers **Prerequisite skills: Reducing fractions, Mix numbers, Improper Fractions** 5.3(H) represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations; Supporting 5/2016 Pictorial models may include strip diagrams Focus on models Which model is shaded to best represent the expression below? denominator equivalent fraction improper fraction least common denominator (LCD) least common multiple (LCM) lowest term mathematical sentence mixed number numerator simplest form Illuminations Use fraction circles to model addition and subtraction of fractions with unequal denominators. Fraction tower and mats for modeling. Draw pictorial models To prove answer. MM p. 87-94 Engaging Math Gr. 5 Vol. II Engaging Math Gr. 6 Vol. I p.42-45 Hands on Standards p. 40-43 Fraction towers and mats MathAntic video All Their Parts Part 3 Fraction Models Versa mate App 1 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity 5.3(K) add and subtract positive rational numbers fluently; Focus is on fractions only Practice will be needed in finding common denominators. Readiness Assessment Q1: Maria bought 8 cups of strawberries. She used cups of the strawberries to make a salad and cups of the strawberries to make a pie. She needs 4 cups of strawberries to make mild shakes. Does Maria have enough strawberries left to make the milk shakes? Q2: Mr. Lee mailed 3 packages. The greatest amount he paid to mail one of these packages was $3.60. The least amount he paid to mail one of these packages was $1.70. What could be the total amount Mr. Lee paid to mail the 3 packages? 5/2016 Instructional Unit: 2nd Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies algorithm denominator difference equivalent fraction improper fraction least common denominator (LCD) least common multiple (LCM) lowest term mixed number numerator simplest form Demonstrate adding and subtracting with mixed numbers. Round Robin-find common denominator Centers: Spin a Difference Fraction Flip It Roll & Answer Resources/ Web links *Exemplar Lesson* MM p. 111-118 Engaging Math Gr. 5 Vol. II Engaging Math Gr. 6 Vol. I p.56-63 and 66-73 Learn zillion 121 Khan academy-adding and subtracting fractions TPT- Roll & Answer Mathantics Word problems using UPSC 2 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity 5.4(C) generate a numerical pattern when given a rule in the form y = ax or y = x + a and graph Fraction focus Multiplicative and additive Generate a pattern from given rule and then students must create a graph. Assessment Graph the ordered pairs that represent y = 2x Instructional Unit: 2nd Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies pattern rule equation ordered pairs coordinate plane y-axis x-axis Model generating a pattern using fraction towers. Use Color Tiles to generate a numerical pattern Y=ax. Create tables showing the pattern y=x+a. Give students graphs and identify the numerical pattern. Readiness Input Tables /Output 5.4(D) recognize the difference between additive and multiplicative numerical patterns given in a table or graph; Supporting 5/2016 Explain the process of testing point on a graph for additive or multiplicative patterns Based on the graphs below, which is true? (See pg. 145 #3 of MM) A. Only Graph A shows multiplicative pattern B. Only Graph B shows multiplicative pattern C. Both A&B show multiplicative patterns *Stations – generating tables using patterns *Reflective discussion justifying patterns in real world application. Investigate patterns on tables and graphs. Sort into additive and multiplicative patterns. Resources/ Web links *Exemplar Lesson* MM p. 135-142 Engaging Math Gr. 5 Vol. II Engaging Math gr 6 Vol. I 134-135 Hands on Standards p. 116 Safari Montage Video – Number PatternsSchlessinger LZ-Function machine TPT-Rule cards TPTs.com free download "In-Bot/Outbot Robot" MM p. 143-150 Interactive Notebook Engaging Math Gr. 5 Vol. II Match the table to the graph. Write the relationship in words. 3 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity 5.3(I) represent and solve multiplication of a whole number and a fraction that refers to the same whole using objects and pictorial models, including area models; Assessment Focus on models, not computation Instructional Unit: 2nd Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies fraction proper fraction improper fraction mixed number multiplication equivalent fraction Multiple ways to describe the same whole (equivalents) Problems to include a unit fraction (like 1/3) and a whole number Use manipulatives to multiply a fraction by a whole number. Model multiplying fractions by drawing pictorial models. Center practice Supporting 5.3(J) represent division of a unit fraction by a whole number and the division of a whole number by a unit fraction such as 1/3 ÷ 7 and 7÷ 1/3 using objects and pictorial models, including area models; Supporting 5/2016 Focus on models, not on computation Problems to include a unit fraction (like 1/3) and a whole number Larry had ½ of a candy bar to share equally among 4 people. What fraction of the candy bar did each person receive? fraction proper fraction improper fraction mixed number multiplication division equivalent fraction Use manipulatives to divide a fraction by a whole number. Model division of fractions by drawing Pictorial models Resources/ Web links MM p. 95-102 Engaging Math Gr. 5 Vol. II Hands on Standards p. 46-47 LZ: Fraction strips, bars, circles Safari Montage Math’scool Video 6.5 Illumination NTCM TPT-Strip diagrams MM p. 103-110 Engaging Math Gr. 5 Vol. II Hands on Standards p. 50-51 LZ-Divide a whole number by a unit fraction Safari Montage Math’s cool 6.6 4 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity 5.3(L) divide whole numbers by unit fractions and unit fractions by whole numbers. Readiness Focus is not on model. Focus on computation (process) Assessment Instructional Unit: 2nd Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies Divide quotient fractions improper fraction Model division of unit fractions by whole numbers using pattern blocks and pictorial models. Activity: Breaking up Blocks & Terrific Rods Draw models to represent problems. Resources/ Web links MM p. 103-110 Engaging Math Gr. 5 Vol. II Pattern blocks Safari Montage Math’s cool 6.6 LZ-Divide whole numbers by unit fractions Terrific Rods p.30-31 UPSC with partners 5.10 Personal Financial Literacy: The student applies mathematical process standards to manage one’s financial resources effectively for lifetime financial security. The student is expected to: 5.10(A) define income tax MM p. 239-246 tax, payroll tax, sales Payroll tax tax, and property tax sales tax property tax 5.10(B) explain the gross income difference between net income gross income and net income 5.10(C) identify the check MM p. 247- 254 advantages and credit card disadvantages Of debit card different methods of electronic payment payment, including check, credit card, 5/2016 5 Content Area Math Course: 5th Grade Math Unit: Numbers and Operations TEKS Guiding Questions/ Specificity Assessment Instructional Unit: 2nd Instructional Period Days to teach: 26-27 Vocabulary Instructional Strategies Resources/ Web links debit card, and electronic payments 5.10D develop a system for keeping and using financial records 5.10(E) describe actions that might be taken to balance a budget when expenses exceed income. budget MM p. 255-262 5.10(F) balance a simple budget 5/2016 6
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