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- https://math.libretexts.org/Courses/College_of_the_Canyons/Math_130%3A_Math_for_Elementary_School_Teachers_(Lagusker)/07%3A_Appendix/7.01%3A_Appendix_AUnderstand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with t...Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
- https://math.libretexts.org/Courses/College_of_the_Canyons/Math_130%3A_Math_for_Elementary_School_Teachers_(Lagusker)/00%3A_Front_Matter
- https://math.libretexts.org/Courses/College_of_the_Canyons/Math_130%3A_Math_for_Elementary_School_Teachers_(Lagusker)/05%3A_Number_Theory/5.05%3A_The_Least_Common_MultipleThe LCM is the smallest number that is a multiple of all numbers, excluding zero. To find the LCM, we work backwards, following the three steps below. If you want to have the same number of each type ...The LCM is the smallest number that is a multiple of all numbers, excluding zero. To find the LCM, we work backwards, following the three steps below. If you want to have the same number of each type of cookie, what is the least number of each that you will need to make using complete recipes? Add (and Subtract) Fractions Using the LCM and GCF Find the Least Common Multiple (LCM). Using the standard and topic you choose from earlier this semester, write a full 45-minute lesson plan.
- https://math.libretexts.org/Courses/Las_Positas_College/Math_27%3A_Number_Systems_for_Educators/09%3A_Appendix/9.04%3A_Appendix_D-_Solutions_to_Practice_ProblemsArea is amount inside a two dimensional shape, surface area is the area around a three dimensional shape, volume is the amount of space inside a three dimensional shape 2 \text { units}^2 About \(...Area is amount inside a two dimensional shape, surface area is the area around a three dimensional shape, volume is the amount of space inside a three dimensional shape 2 \text { units}^2 About 2 \text { units}^2 About 2.5 \text { units}^2 28 \text { units}^2 59.2 \pi \text { ft}^2 462 \pi \text { km}^2 1152 \pi \text { m}^3 1.33 \pi \text { m}^3 1774.67 \pi \text { km}^3 273.84 \pi \text { ft}^3 27 \pi \text { mi}^3 1296 \pi \text { mi}^3
- https://math.libretexts.org/Courses/College_of_the_Canyons/Math_130%3A_Math_for_Elementary_School_Teachers_(Lagusker)/04%3A_Fractions_and_Integers/4.03%3A_Add_Subtract_Multiply_and_Divide_Fractions\dfrac{3}{4} \div \dfrac{2}{7}&= \left(\dfrac{3}{4} \times \dfrac{7}{2}\right) \div\left(\dfrac{2}{7} \times \dfrac{7}{2}\right) \\ \(3 \dfrac{1}{2}+\dfrac{2}{3}=\dfrac{7}{2}+\dfrac{2}{3}=\dfrac{21}{6...\dfrac{3}{4} \div \dfrac{2}{7}&= \left(\dfrac{3}{4} \times \dfrac{7}{2}\right) \div\left(\dfrac{2}{7} \times \dfrac{7}{2}\right) \\ 3 \dfrac{1}{2}+\dfrac{2}{3}=\dfrac{7}{2}+\dfrac{2}{3}=\dfrac{21}{6}+\dfrac{4}{6}=\dfrac{25}{6}=4 \dfrac{1}{6} days 3 \dfrac{1}{2} \times \dfrac{2}{3}=\dfrac{7}{2} \times \dfrac{2}{3}=\dfrac{14}{6}=2 \dfrac{2}{6}=2 \dfrac{1}{3} days 3 \dfrac{1}{2} \div \dfrac{2}{3}=\dfrac{7}{2} \times \dfrac{3}{2}=\dfrac{21}{4}=5 \dfrac{1}{4} days
- https://math.libretexts.org/Courses/College_of_the_Desert/College_of_the_Desert_MATH_011%3A_Math_Concepts_for_Elementary_School_Teachers__Number_Systems/05%3A_Addition_and_Subtraction/5.06%3A_Operations_in_Different_BasesWe plan to add in base six and then (separate exercise) base three. 5415_{\text {SIX}}+3042_{\text {SIX}} \\ 1202_{\text {THREE}}+1022_{\text {THREE}} \\ 5631234_{\text {SEVEN}} - 2564310_{\text {SEVE...We plan to add in base six and then (separate exercise) base three. 5415_{\text {SIX}}+3042_{\text {SIX}} \\ 1202_{\text {THREE}}+1022_{\text {THREE}} \\ 5631234_{\text {SEVEN}} - 2564310_{\text {SEVEN}} \\ 3741_{\text {EIGHT}}- 1465_{\text {EIGHT}} \\ 65_{\text {nine }}+41_{\text {nine }}= 123_{\text {four }}+301_{\text {four }}= 220_{\text {three }}-122_{\text {three }}= 2100_{\text {three }}+21_{\text {three }} 57643_{\text {eight }}+24677_{\text {eight }}
- https://math.libretexts.org/Courses/Las_Positas_College/Math_27%3A_Number_Systems_for_Educators/03%3A_Numeration_Systems_and_Bases/3.03%3A_Historical_Counting_Systems/3.3.06%3A_Roman_Numerals\overline{L X X X} 123 &=100+10+10+1+1+1=C X X I I I \\ 3816 &=1000+1000+1000+500+100+100+100+10+5+1=M M M D C C C X V I \\ 7002 &=5000+1000+1000+1+1=\overline{V I I }I I When we are looking at a ...\overline{L X X X} 123 &=100+10+10+1+1+1=C X X I I I \\ 3816 &=1000+1000+1000+500+100+100+100+10+5+1=M M M D C C C X V I \\ 7002 &=5000+1000+1000+1+1=\overline{V I I }I I When we are looking at a Roman Number expression and we see a Roman character OUT OF ORDER, which is the clue to SUBTRACT! 29452=10000+10000+10000-1000+(500-100)+50+1+1=\overline{I X X X} C D L I I \overline{X X} L X X X I X
- https://math.libretexts.org/Courses/College_of_the_Canyons/Math_130%3A_Math_for_Elementary_School_Teachers_(Lagusker)/02%3A_Empathy_and_Primary_Mathematics/2.03%3A_Word_ProblemsCara is riding in the South Train leaving Los Angeles and heading towards San Diego. Madeline is riding in the North Train leaving San Diego and heading towards Los Angeles. The South Train is traveli...Cara is riding in the South Train leaving Los Angeles and heading towards San Diego. Madeline is riding in the North Train leaving San Diego and heading towards Los Angeles. The South Train is traveling 84mph while the North Train is traveling 92mph. Assuming the trains leave at the exact same time, how long will it take them to meet? (Hints: Draw it out and set up a proportion.) She wants to buy candy, which costs 54¢. How much change will she have after she buys the candy?
- https://math.libretexts.org/Courses/Las_Positas_College/Math_27%3A_Number_Systems_for_Educators/09%3A_Appendix/9.03%3A_Appendix_C-_Solutions_for_Partner_Activities\dfrac{1 \text { hour }}{84 \text { miles }+92 \text { miles }}=\dfrac{1 \text { hour }}{176 \text { miles }} \\ \rightarrow \dfrac{132 \text { miles needed in one hour }}{176 \text { miles total in o...\dfrac{1 \text { hour }}{84 \text { miles }+92 \text { miles }}=\dfrac{1 \text { hour }}{176 \text { miles }} \\ \rightarrow \dfrac{132 \text { miles needed in one hour }}{176 \text { miles total in one hour }}=\dfrac{3}{4} \text { hour }=45 \text { minutes }
- https://math.libretexts.org/Courses/Las_Positas_College/Math_27%3A_Number_Systems_for_Educators/03%3A_Numeration_Systems_and_Bases/3.01%3A_The_WhyDo you remember struggling with very basic math? Do you remember using your fingers to add two plus three? Chances are you do not, so this chapter will give you an opportunity to relearn basic math fo...Do you remember struggling with very basic math? Do you remember using your fingers to add two plus three? Chances are you do not, so this chapter will give you an opportunity to relearn basic math for the first time. Why do you want to be a teacher? If you had a choice (and most first year teachers do not), which grade level would you want to teach? Which mathematical topics were the most difficult for you in elementary school? Why do you think mathematics is very important subject to learn?
- https://math.libretexts.org/Courses/College_of_the_Canyons/Math_130%3A_Math_for_Elementary_School_Teachers_(Lagusker)/01%3A_Overview_of_Elementary_Common_Core_Mathematics/1.02%3A_The_Importance_of_Mathematics_for_Elementary_School_StudentsAt the beginning of each chapter, we will discuss WHY the mathematics is taught in elementary school and WHY it is important for teachers to understand it, besides we need to understand it since we ar...At the beginning of each chapter, we will discuss WHY the mathematics is taught in elementary school and WHY it is important for teachers to understand it, besides we need to understand it since we are going to teach it. A common Common Core misconception is that Common Core is a way of teaching. Common Core is just a list of standards, which are required to be taught during the duration of the school year.
