Unit 2: Factors and Multiples Reference: GO Math Advanced Mathematics 1 Dear Parents, Here are some examples of what your child will study and model throughout this unit. Please review the vocabulary listed to the right of the lessons. Remember, the online textbook is always available when working with your child. Greatest Common Factor Factor Example - A baker has 24 sesame bagels and 36 plain bagels to put Multiple Greatest common factor (GCF) Least common multiple (LCM) into boxes. Each box must have the same number of each type of bagel. What is the greatest number of boxes that the baker can make using all of the bagels? How many sesame bagels and how many plain bagels will be in each box? (See page 32 for a detailed explanation) The student will understand: Creating an area model with grid paper shows the relationship of factors and the product Dividing a number by a factor will not yield a remainder using multiples found through repeated addition Least Common Multiple Examples- A store is holding a promotion. Every third customer receives a free key chain, and every fourth customer receives a free magnet. Which customer will be the first to receive both a key chain and a magnet? The student will be able to: identify the factors of two whole numbers less than or equal to 100 find the least common multiple of numbers less than or equal to 12 Key Vocabulary (See page 38 for a detailed explanation) Unit 3: Operations with Fractions Reference: GO Math Advanced Mathematics Dear Parents, Applying GCF and LCM to Fraction Operations Here are some examples of what your child will study and model throughout this unit. Please review the vocabulary listed to the right of the lessons. Remember, the online textbook is always available when working with your child. Example - A class has 18 students. The teacher asks how many students in the class have pets and finds of the students have pets. How many students have pets? (See page 80 for a detailed explanation) Dividing Fractions Example- You have The student will be able to understand: using the relative value of numbers written as fractions in order to check the product and quotient for reasonableness multiplying and dividing by the reciprocal (key vocabulary) yield the same results The student will be able to: follow procedures to multiply and divide fractions with precision find the reciprocal of a fraction rewrite mixed numbers as improper fractions write a story context to demonstrate multiplication and division problems cup of salsa for making burritos. Each burrito requires cup of salsa. How many burritos can you make? (See page 85 for a detailed explanation) Dividing Mixed Numbers Example - One serving of Harold’s favorite cereal contains 1 ounces. How many servings are in a 17 ounce box? (See page 92 for a detailed explanation) Solving Multi-Step Problems with Fractions and Mixed Numbers Example - Jon is cooking enough lentils for lentil barley soup and lentil salad. The lentil barley soup recipe calls for ⁄ cup of dried lentils. The lentil salad recipe calls for 1 ⁄ cups of dried lentils. Jon has a ⁄ -cup scoop. How many scoops of dried lentils will Jon need to have enough for the soup and the salad? (See page 97 for a detailed explanation) Key Vocabulary Denominator Numerator Mixed number Order of operations Reciprocal